OK, we've got an exceptionally-intelligent ooze. Fun!
So...Int is 15-16.
Physical ability scores of similarly-sized oozes:
Toxic Ooze: Str 14, Dex 5, Con 23
Gray Ooze: Str 12, Dex 1, Con 21
Summoning Ooze: Str 14, Dex 10, Con 16
Reason Stealer: Str 14, Dex 1, Con 16
Snowflake Ooze: Str 20, Dex 1, Con 20
Assassin Jelly: Str 15, Dex 15, Con 20
Considering that its AC converts to 17, and oozes tend to lack natural armor, I'm thinking that Dex should be closer to the assassin jelly.
For the others, it looks like Str 12-15 and Con 16-20. I could see the low end for both of these, since it will have decent mental stats.
Mabye Str 12, Dex 15, Con 17, Int 16, Wis 11, Cha 14?