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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+140x^177+60x^178+138x^179+234x^180+138x^181+120x^182+224x^183+90x^184+188x^186+36x^187+102x^188+104x^189+18x^190+30x^191+128x^192+90x^193+80x^195+30x^196+84x^197+60x^198+24x^199+12x^200+42x^201+2x^204+2x^207+4x^213+4x^216+2x^219

The gray image is a linear code over GF(3) with n=279, k=7 and d=177.
This code was found by Heurico 1.16 in 0.228 seconds.