The generator matrix

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

generates a code of length 44 over Z3[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+156x^74+400x^75+270x^76+918x^77+1146x^78+1014x^79+1974x^80+1880x^81+1566x^82+3606x^83+2948x^84+2142x^85+4950x^86+3822x^87+2670x^88+6006x^89+3866x^90+2628x^91+4740x^92+3306x^93+1944x^94+2772x^95+1654x^96+690x^97+984x^98+482x^99+180x^100+138x^101+140x^102+18x^103+16x^105+8x^108+10x^111+4x^114

The gray image is a linear code over GF(3) with n=132, k=10 and d=74.
This code was found by Heurico 1.16 in 29.8 seconds.