The generator matrix

 1  0  0  0  1  1  1 2X  1  1  1  1  1  1 2X 2X  1  1  1  1 2X  1  X 2X  1  1  1  1 2X  1  1  1  1  1  1  1  1  X  1  1  1  1
 0  1  0  0  0  1 2X+1  1  X  X 2X+2 X+2 2X 2X 2X  1 X+1  1 2X+2  2  1  1 2X  1 X+1 X+2  1 X+1  1  X 2X  X  X X+1  2 X+2  1  1 2X+1  0 2X+2  0
 0  0  1  0  1  1 2X+2 2X+1 2X+1 X+2  X 2X+1  X X+2  1  1 X+1  0  0 2X+2 X+2  1  1 2X+2 2X X+2  0 2X+2 2X+1 X+2  X X+1 2X+2  X X+2 X+1 2X+2 2X+2 2X+1 2X 2X+1  X
 0  0  0  1  2  X 2X+2 2X+2 X+1  0  1  X 2X+2  1 2X+1  0 X+1 X+2  0  1  2 X+2  2 X+1 2X+2  0 2X 2X 2X 2X+2 2X+2  X X+2 2X+1 2X X+1  X  0 2X+1 2X X+1  1
 0  0  0  0 2X  0 2X 2X  X 2X 2X 2X  X  0 2X  X 2X  0  X  X  0  X  X  X 2X  X  X  0  0  0 2X 2X  X  X 2X  0 2X 2X  0  0  X  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+110x^72+150x^73+246x^74+844x^75+342x^76+534x^77+1460x^78+666x^79+666x^80+1920x^81+894x^82+750x^83+2028x^84+834x^85+942x^86+2246x^87+816x^88+852x^89+1554x^90+468x^91+264x^92+650x^93+174x^94+108x^95+92x^96+30x^97+12x^98+22x^99+4x^102+2x^108+2x^111

The gray image is a linear code over GF(3) with n=126, k=9 and d=72.
This code was found by Heurico 1.16 in 3.36 seconds.