The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  X  1  1  1  1  0  1  1  1  1  0  1  1  1  1  1  1  0  1  1  1  1  1  1  0  1  1  X  1  1  X  1 2X  1  1  1  1 2X  1  1  X 2X  1  0  1  1  1  0 2X  1  1  1  0  1  1  1  X  1  1  1  1  1  1  1  0  1  X  1  1  1  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1  0  2 2X+1  1 2X+1  1  2  0  2  X  1 2X+1 X+1  0  2  1  0 2X+1 X+2 2X+1  2  0  1 2X+1 X+2 2X X+2  1 2X  1 2X+1 2X  1  1  2  1  0  1 X+1 2X+1 2X  2  1 2X+2  2  1  1 X+1  1 2X X+2 2X  1  1 X+2  1  1  1  2 2X  X  1 2X X+2 2X+2 2X+2 2X+2 2X+2 X+1  0 2X+2  1 2X+2  0  0  0
 0  0 2X  0  0  0  0  0  0 2X  X 2X 2X 2X 2X  0  X 2X  X  0  X 2X 2X  0 2X  0 2X  X 2X 2X  0  0  X  X  0  X  0  X 2X  X  X 2X 2X 2X 2X  X  0  X  X 2X  X  X 2X  0  0 2X  0  X  X  0  0 2X  0  0  0  X  X 2X 2X  X  X  X  0  X  0  0  0  0  0  X  X  X 2X  X  X 2X 2X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0 2X  X  X 2X 2X  X  X  X 2X  0  0  X  X 2X  0 2X 2X 2X  0 2X  0  0  X  0 2X 2X  0  X  0  X 2X  X  X  0  X  0  X 2X 2X  X  X  X  0 2X  X  X 2X  X  0  X  0 2X  0  X  0  X 2X  X  X  0  0  X 2X  X 2X 2X  0 2X 2X 2X  0 2X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0 2X 2X  X 2X  X 2X 2X  X  X  X 2X  X 2X 2X  X 2X  X  X  0  X  X  X  X  X  X 2X 2X  0  0  0 2X 2X  0 2X  X 2X 2X 2X  0  0  X 2X  X 2X  X  0  0  X  0  X  X  0  X  0  0  0 2X 2X  0 2X 2X  0  0  X  0 2X  0
 0  0  0  0  0 2X  0  0  X 2X 2X  X 2X  0 2X 2X  X 2X 2X  X  0  0 2X 2X  X  0  X  X  X  X  X 2X  0 2X  0 2X  0  0  0  X  0  X 2X 2X  X  0 2X  0  0  X 2X 2X  0 2X 2X  0 2X  0 2X 2X  X 2X 2X  X  0 2X  X  X  X 2X 2X  X  X  X  X  X  X 2X 2X  X  0 2X  X  0 2X  X 2X  0
 0  0  0  0  0  0  X  0  X  0  X  X  X 2X 2X  X  X  0  0  X  X 2X  0  0  0 2X  X  X 2X 2X 2X  0  0  0  0  0 2X  X  0  X 2X  X 2X 2X  0 2X  X 2X 2X  0 2X  X  0 2X  0  0  X  X 2X  0  0  X  0  0  X  0 2X  X  X  X 2X  X  X  0  X 2X 2X 2X 2X  0  0  X  X 2X  X 2X 2X  0
 0  0  0  0  0  0  0  X  X  X  X  0 2X  X 2X  0 2X 2X  0  0  X 2X  0  X  X 2X  0  0  X  0 2X 2X 2X 2X  X 2X  0 2X  0 2X  0 2X  0 2X  X  0  X  0  0  0  X  X  X  0  0  0 2X 2X 2X  X  0 2X  0 2X  X  X  X  0 2X  X  X 2X 2X  X 2X  0 2X  0  0 2X  0 2X  0  X  0 2X 2X  0

generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+48x^150+182x^153+30x^154+318x^156+204x^157+488x^159+576x^160+692x^162+1254x^163+1146x^165+2436x^166+1668x^168+3870x^169+2086x^171+5466x^172+2600x^174+6336x^175+2892x^177+6660x^178+2474x^180+5658x^181+2002x^183+3882x^184+1264x^186+1980x^187+764x^189+708x^190+326x^192+264x^193+262x^195+36x^196+210x^198+6x^199+110x^201+70x^204+42x^207+30x^210+4x^213+2x^216+2x^219

The gray image is a linear code over GF(3) with n=264, k=10 and d=150.
This code was found by Heurico 1.16 in 83 seconds.