The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  1  1
 0  X  0  0  0  0  X 2X 2X  0  0  X  X  X  X  X  X  X  0 2X  0 2X  0 2X  0  X  X  X 2X  0  X  0  X  0  X 2X  X  0  0 2X  X
 0  0  X  0  0  X 2X  0 2X  0  X  X 2X 2X  0  X  0  X  X  X  X  0  0 2X 2X 2X 2X  X  X 2X  0  0  X  X  X  X  0 2X  0  0  0
 0  0  0  X  0 2X 2X  X  0  X  X  0  0  X 2X  X  X 2X 2X  0  0 2X 2X 2X 2X  0  X  X  X  X  X 2X 2X  X 2X 2X  X  0  0  0 2X
 0  0  0  0  X 2X 2X 2X 2X 2X  0 2X  0  0 2X 2X  0  X  0  0 2X 2X  X 2X  X 2X  X  0  X  0  X 2X  0 2X  X  X  0  0  X  X  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+48x^75+18x^76+64x^78+108x^79+48x^81+216x^82+22x^84+144x^85+14x^87+10x^90+16x^93+10x^96+4x^99+4x^102+2x^114

The gray image is a linear code over GF(3) with n=123, k=6 and d=75.
This code was found by Heurico 1.16 in 0.0294 seconds.