The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+138x^76+152x^78+294x^79+132x^81+228x^82+180x^84+324x^85+164x^87+258x^88+68x^90+168x^91+42x^94+22x^96+6x^97+2x^99+2x^105+4x^108+2x^114

The gray image is a linear code over GF(3) with n=126, k=7 and d=76.
This code was found by Heurico 1.16 in 32.1 seconds.