The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+70x^66+24x^67+184x^69+60x^70+90x^71+482x^72+180x^73+246x^74+862x^75+522x^76+666x^77+1770x^78+798x^79+900x^80+2328x^81+1116x^82+1110x^83+2554x^84+918x^85+900x^86+1654x^87+492x^88+414x^89+610x^90+216x^91+48x^92+216x^93+48x^94+114x^96+62x^99+24x^102+4x^105

The gray image is a linear code over GF(3) with n=123, k=9 and d=66.
This code was found by Heurico 1.16 in 3.71 seconds.