The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+42x^42+18x^43+210x^44+446x^45+666x^46+1188x^47+2572x^48+3216x^49+6756x^50+7772x^51+9168x^52+11328x^53+7752x^54+4266x^55+2304x^56+916x^57+150x^58+84x^59+158x^60+12x^61+16x^63+4x^66+2x^69+2x^72

The gray image is a linear code over GF(3) with n=234, k=10 and d=126.
This code was found by Heurico 1.16 in 2.96 seconds.