The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+432x^71+422x^72+2028x^74+1456x^75+3912x^77+2220x^78+6192x^80+3250x^81+7854x^83+4030x^84+8160x^86+4380x^87+6660x^89+2602x^90+3174x^92+1148x^93+834x^95+150x^96+108x^98+14x^99+12x^101+4x^102+2x^108+4x^111

The gray image is a linear code over GF(3) with n=126, k=10 and d=71.
This code was found by Heurico 1.16 in 32.6 seconds.