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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+360x^71+406x^72+1242x^74+666x^75+1860x^77+1064x^78+2418x^80+1244x^81+2952x^83+1452x^84+2232x^86+1006x^87+1560x^89+566x^90+414x^92+132x^93+84x^95+16x^96+4x^99+2x^105+2x^108

The gray image is a linear code over GF(3) with n=123, k=9 and d=71.
This code was found by Heurico 1.16 in 6.42 seconds.