The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+336x^73+516x^74+178x^75+798x^76+978x^77+296x^78+1182x^79+1284x^80+402x^81+1596x^82+1746x^83+474x^84+1830x^85+1854x^86+378x^87+1650x^88+1500x^89+268x^90+996x^91+636x^92+152x^93+306x^94+228x^95+24x^96+48x^97+6x^98+4x^99+6x^100+4x^102+4x^105+2x^111

The gray image is a linear code over GF(3) with n=126, k=9 and d=73.
This code was found by Heurico 1.16 in 491 seconds.