The generator matrix

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

generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+234x^39+660x^40+498x^41+1072x^42+2118x^43+1242x^44+2332x^45+4086x^46+2598x^47+4774x^48+6894x^49+3894x^50+5862x^51+7206x^52+3384x^53+4002x^54+4104x^55+1326x^56+1198x^57+1068x^58+180x^59+192x^60+108x^61+10x^63+4x^66+2x^69

The gray image is a linear code over GF(3) with n=75, k=10 and d=39.
This code was found by Heurico 1.16 in 13.9 seconds.