Tottenham Hotspur fan Tyler had left his home in Feltham at around 9.10pm on Wednesday evening and rode his bike along Elmwood Avenue.
At some stage he entered the park, but never returned to his family. He was the first teenager to be murdered in London this year.
On Sunday, three men aged 21, 27 and 32, were arrested at different locations in London and remain in custody, the Metropolitan Police.
Tyler’s mother Hollie Yates posted on Facebook: “I hope my Tyler can see how loved he was.
“His murder was totally unjustified. He never entered that park in any violence. He was coming straight back home. He was one million per cent targeted and preyed upon and we are going to get justice for Tyler.”
Ms Yates added as a GoFundMe page raised more than £7,000 in two days her family had been “ripped apart”.
She said: “I cannot even put into words the pain I’m in but what makes it even worse is to watch my daughter in so much pain with a broken heart.
“How could anybody want take away her big brother or my little boy?”
Detective Chief Inspector Brian Howie, leading the investigation for the Metropolitan Police Homicide Command, said: “Tyler left his home around 9.10pm on Wednesday evening and rode his bike along Elmwood Avenue and at some stage entered the park. He never returned home.
“If you were in the park and saw something, regardless of the reason you were there, please get in touch. Our focus is on what happened to Tyler and who was responsible.
“Similarly, if you were driving through Elmwood Avenue, returning home or out walking, did you notice anything? Did you see anyone else in the park on bikes alone or in a group? Did you perhaps see Tyler, who was wearing dark clothing, riding his grey bike?
“The H25 bus route goes through Elmwood Avenue, were you travelling through this area on Wednesday or in the early hours of Thursday? Did you see Tyler or anyone matching his description?
“Tyler’s family and friends are inconsolable after receiving the worst possible news imaginable – our thoughts are with them and they are being supported by specialist officers.”
Anyone with information or footage, can call police on 101, quoting 1197/25JAN. To remain 100 per cent anonymous call the independent charity Crimestoppers on 0800 555 111 or visit crimestoppers-uk.org.