The generator matrix

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

generates a code of length 44 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+94x^75+42x^76+276x^77+362x^78+426x^79+798x^80+762x^81+474x^82+1152x^83+1016x^84+732x^85+1608x^86+1152x^87+864x^88+1986x^89+1406x^90+876x^91+1728x^92+932x^93+684x^94+870x^95+572x^96+222x^97+294x^98+164x^99+54x^100+36x^101+58x^102+18x^105+16x^108+6x^111+2x^114

The gray image is a linear code over GF(3) with n=132, k=9 and d=75.
This code was found by Heurico 1.16 in 3.68 seconds.