The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  1  X  1  1  1  0  1  1  1  1  1  1  0  1  1  1  1  X  1  1  1  1  0 2X  1  1  1  0
 0  1  1  2  0  1  2  1  0 2X+1  2  1  0 X+1  2  1 X+2  0  1 2X+1  X  2  1 2X+1 2X 2X+1 2X+1  2 2X  1  2 2X+2  0  X  1  0  X 2X+2  X  1  1  1  2 2X+1  1
 0  0 2X  0  0  0  0  0  0  0  0  0  0  X  X 2X  X  X  X  X  X  X 2X  0  X  0  X  X  X  X 2X  X  0  0 2X  X  0 2X  X 2X 2X  0 2X  X  0
 0  0  0  X  0  0  0  0  0  0  0 2X  0  0 2X  X  X  X 2X  X  X  0  0 2X  X 2X 2X  0  X  X  X  0  X 2X  X  0  X  X 2X 2X 2X 2X  0  X 2X
 0  0  0  0  X  0  0  0  X 2X 2X  0  X 2X  X  X 2X 2X 2X  0  0  0 2X 2X  0 2X 2X  0 2X 2X  0  0 2X 2X  X 2X 2X  0 2X  0 2X  0  0 2X 2X
 0  0  0  0  0 2X  0  X 2X 2X 2X 2X  0  X 2X 2X  0 2X 2X  0  X  X 2X  X  X 2X  0 2X  0 2X 2X  0  0 2X  X  X  X 2X  X 2X  0 2X  X  X  0
 0  0  0  0  0  0  X 2X 2X 2X  0 2X 2X 2X  0 2X 2X  X  0 2X  0 2X 2X 2X  X 2X  0  0  X 2X  X 2X 2X  X  X  0 2X 2X  0  X  0  X  X 2X  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+128x^75+18x^76+60x^77+196x^78+240x^79+312x^80+244x^81+612x^82+744x^83+224x^84+1170x^85+1392x^86+218x^87+1698x^88+2076x^89+226x^90+2322x^91+2076x^92+218x^93+1602x^94+1464x^95+224x^96+870x^97+528x^98+158x^99+198x^100+96x^101+162x^102+18x^103+112x^105+42x^108+24x^111+6x^114+4x^117

The gray image is a linear code over GF(3) with n=135, k=9 and d=75.
This code was found by Heurico 1.16 in 34.3 seconds.