The generator matrix

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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+46x^75+60x^76+78x^77+302x^78+414x^79+372x^80+858x^81+1080x^82+834x^83+1652x^84+2280x^85+1320x^86+2436x^87+4116x^88+2340x^89+3564x^90+5724x^91+2904x^92+4060x^93+5700x^94+2436x^95+3406x^96+4332x^97+1872x^98+2106x^99+1998x^100+744x^101+792x^102+438x^103+162x^104+312x^105+102x^106+60x^107+86x^108+38x^111+20x^114+4x^123

The gray image is a linear code over GF(3) with n=138, k=10 and d=75.
This code was found by Heurico 1.16 in 30.4 seconds.