The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+240x^176+200x^177+324x^179+142x^180+258x^182+52x^183+168x^185+142x^186+114x^188+70x^189+144x^191+12x^192+114x^194+70x^195+84x^197+28x^198+12x^200+4x^201+2x^207+2x^210+2x^219+2x^222

The gray image is a linear code over GF(3) with n=276, k=7 and d=176.
This code was found by Heurico 1.16 in 61.1 seconds.