The generator matrix

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

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+50x^72+12x^73+54x^74+292x^75+120x^76+150x^77+470x^78+216x^79+246x^80+588x^81+264x^82+282x^83+796x^84+390x^85+378x^86+764x^87+324x^88+240x^89+420x^90+102x^91+96x^92+158x^93+30x^94+12x^95+38x^96+28x^99+28x^102+6x^105+2x^108+4x^111

The gray image is a linear code over GF(3) with n=126, k=8 and d=72.
This code was found by Heurico 1.16 in 0.451 seconds.