The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+144x^74+102x^75+252x^77+154x^78+246x^80+132x^81+330x^83+192x^84+306x^86+88x^87+150x^89+28x^90+30x^92+12x^93+6x^96+10x^99+2x^105+2x^114

The gray image is a linear code over GF(3) with n=123, k=7 and d=74.
This code was found by Heurico 1.16 in 0.292 seconds.