The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+112x^75+78x^76+210x^77+918x^78+486x^79+672x^80+2220x^81+1068x^82+1236x^83+3888x^84+1842x^85+2010x^86+5224x^87+2418x^88+2658x^89+6956x^90+2652x^91+2772x^92+6580x^93+2544x^94+2124x^95+4196x^96+1464x^97+1098x^98+2084x^99+492x^100+312x^101+498x^102+72x^103+30x^104+92x^105+6x^106+16x^108+10x^111+10x^114

The gray image is a linear code over GF(3) with n=135, k=10 and d=75.
This code was found by Heurico 1.16 in 30.4 seconds.