The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  0 2X  1  0  1  X  1 2X  1  1  X  1  1  1  1  1 2X  1  0  1  1  X  1  1  0  1  0  1  1 2X 2X
 0  1  0  0  0  1  2  1 2X+1  2 2X+2  1  1  0  1  0  1 2X+1  X 2X 2X+2  1  2 X+1 2X  2 X+1  1 2X  1 2X+1 X+2  1 X+2 X+2  1  1  1  2 2X+1  1  X
 0  0  1  1  2  2  2  1 2X  0 2X+1  2 2X+1  0 2X 2X+1 2X+2  1  1  2 2X+1 2X+1 2X+2  0 2X+1 2X  1 X+2  0 2X+2 2X+2 2X+2  1  X 2X+1 2X+2 X+1 2X+1 X+2 2X+2 X+2  1
 0  0  0 2X  0  0  0  0  0 2X 2X  X 2X 2X 2X  0 2X 2X  X  X 2X  0  X 2X 2X 2X  X  X  0 2X  0  0  0  0  0 2X  X  X 2X  X 2X  X
 0  0  0  0  X  0  X 2X 2X 2X 2X  0  X  X 2X  X  X  X  X 2X 2X  0  0  0  X  0  0  0  0  X  0  X  X  0 2X 2X 2X  X  X  X  0  X
 0  0  0  0  0 2X  X  X  0  X  0  X  X  X  X 2X  0 2X 2X 2X 2X 2X 2X 2X  0  0  X  0 2X  X  0  0  0  X  0 2X 2X  0  0  X 2X  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+242x^72+132x^73+192x^74+856x^75+348x^76+378x^77+1378x^78+570x^79+756x^80+1868x^81+810x^82+912x^83+2068x^84+1152x^85+1080x^86+2142x^87+816x^88+756x^89+1452x^90+408x^91+246x^92+672x^93+120x^94+54x^95+198x^96+18x^97+28x^99+20x^102+8x^105+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 3.43 seconds.