The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+116x^72+48x^73+108x^74+266x^75+84x^76+108x^77+204x^78+138x^79+214x^81+114x^82+216x^83+230x^84+78x^85+54x^86+128x^87+24x^88+34x^90+8x^93+8x^96+2x^99+2x^105+2x^108

The gray image is a linear code over GF(3) with n=120, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0728 seconds.