The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+246x^75+174x^76+192x^77+596x^78+240x^79+348x^80+660x^81+312x^82+288x^83+758x^84+246x^85+222x^86+580x^87+246x^88+258x^89+468x^90+156x^91+126x^92+256x^93+66x^94+18x^95+66x^96+18x^97+6x^98+14x^99

The gray image is a linear code over GF(3) with n=126, k=8 and d=75.
This code was found by Heurico 1.16 in 0.36 seconds.