The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+138x^75+108x^76+186x^77+328x^78+96x^79+48x^80+246x^81+108x^82+96x^83+180x^84+84x^85+78x^86+158x^87+60x^88+60x^89+122x^90+18x^91+12x^92+40x^93+6x^94+6x^95+6x^97+2x^102

The gray image is a linear code over GF(3) with n=123, k=7 and d=75.
This code was found by Heurico 1.13 in 0.0276 seconds.