The generator matrix

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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+324x^76+522x^77+310x^78+1470x^79+1962x^80+770x^81+3954x^82+5028x^83+1330x^84+7068x^85+8568x^86+2694x^87+12126x^88+13746x^89+3844x^90+15816x^91+16854x^92+4052x^93+16470x^94+15528x^95+3466x^96+12408x^97+10374x^98+2178x^99+6360x^100+4680x^101+758x^102+2262x^103+1248x^104+216x^105+402x^106+216x^107+36x^108+60x^109+6x^110+16x^111+12x^112+10x^114+2x^117

The gray image is a linear code over GF(3) with n=138, k=11 and d=76.
This code was found by Heurico 1.16 in 345 seconds.