The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+40x^42+12x^43+102x^44+132x^45+246x^46+432x^47+284x^48+1110x^49+1392x^50+522x^51+2676x^52+3486x^53+934x^54+5232x^55+6012x^56+1612x^57+6852x^58+7116x^59+1368x^60+6060x^61+5160x^62+1010x^63+3270x^64+2142x^65+394x^66+786x^67+402x^68+170x^69+56x^72+32x^75+6x^78

The gray image is a linear code over GF(3) with n=87, k=10 and d=42.
This code was found by Heurico 1.16 in 14 seconds.