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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+48x^72+114x^75+106x^78+162x^80+106x^81+648x^83+86x^84+648x^86+62x^87+56x^90+42x^93+38x^96+26x^99+26x^102+10x^105+6x^108+2x^120

The gray image is a linear code over GF(3) with n=126, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0862 seconds.