The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+132x^70+240x^71+366x^72+846x^73+1086x^74+978x^75+1734x^76+2148x^77+1904x^78+2712x^79+3390x^80+2646x^81+4224x^82+4398x^83+3126x^84+4938x^85+4776x^86+3084x^87+4116x^88+3588x^89+2102x^90+2208x^91+1752x^92+938x^93+780x^94+474x^95+108x^96+168x^97+18x^98+20x^99+12x^100+14x^102+16x^105+4x^108+2x^111

The gray image is a linear code over GF(3) with n=126, k=10 and d=70.
This code was found by Heurico 1.16 in 27.9 seconds.