The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+114x^73+276x^74+240x^75+384x^76+510x^77+388x^78+522x^79+414x^80+288x^81+480x^82+426x^83+366x^84+444x^85+360x^86+216x^87+336x^88+270x^89+146x^90+90x^91+144x^92+54x^93+54x^94+30x^95+2x^96+6x^97

The gray image is a linear code over GF(3) with n=123, k=8 and d=73.
This code was found by Heurico 1.16 in 0.375 seconds.