The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+146x^165+526x^168+392x^171+348x^174+244x^177+214x^180+132x^183+110x^186+60x^189+2x^192+6x^198+2x^201+2x^207+2x^222

The gray image is a linear code over GF(3) with n=261, k=7 and d=165.
This code was found by Heurico 1.16 in 0.197 seconds.