The generator matrix

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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+312x^179+190x^180+390x^182+222x^183+228x^185+78x^186+156x^188+92x^189+72x^191+66x^192+138x^194+18x^195+78x^197+6x^198+42x^200+26x^201+30x^203+6x^204+12x^206+8x^207+8x^210+6x^213+2x^219

The gray image is a linear code over GF(3) with n=279, k=7 and d=179.
This code was found by Heurico 1.16 in 24.2 seconds.