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  0  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  2  0 2X 2X+2  1  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  0 2X+1  1 X+1 2X X+2 X+1  0  1  2 X+1 X+2 X+1  2 2X  X  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 X+1  0  2  X X+2  0  0 2X  2  1  2 X+2  0 2X+1 X+2  X X+2 X+2
 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  X  X  X  0  X 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+336x^71+386x^72+1236x^74+740x^75+2004x^77+990x^78+2322x^80+1264x^81+2826x^83+1420x^84+2370x^86+1062x^87+1500x^89+524x^90+474x^92+160x^93+54x^95+12x^99+2x^102

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 4.92 seconds.