The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+252x^74+286x^75+444x^76+1434x^77+1734x^78+1338x^79+4176x^80+3458x^81+2670x^82+7158x^83+6626x^84+5286x^85+11964x^86+10184x^87+7812x^88+15786x^89+12512x^90+8838x^91+16242x^92+11960x^93+7206x^94+12564x^95+8024x^96+3954x^97+6468x^98+3158x^99+1560x^100+2208x^101+884x^102+240x^103+444x^104+190x^105+18x^106+30x^107+14x^108+6x^110+4x^111+8x^114+4x^120+2x^123

The gray image is a linear code over GF(3) with n=135, k=11 and d=74.
This code was found by Heurico 1.16 in 296 seconds.