The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 X 1 X X 1
0 X 0 0 0 0 0 0 0 0 X X X 0 2X X X X X 2X X 0 X X 0
0 0 X 0 0 0 0 0 X X 2X 2X 2X X 0 2X X 0 0 0 2X X X X 0
0 0 0 X 0 0 0 X 2X 2X 2X X X X X 2X X X X X 0 0 0 0 0
0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X 0 0 2X 0 X 2X 2X 0 0 X
0 0 0 0 0 X 0 2X X 2X X 2X 0 X X X 0 0 X X 0 2X X 2X X
0 0 0 0 0 0 X X 0 X 0 X 0 X X 2X 2X 2X X 2X X 2X X X 0
generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+58x^36+168x^39+18x^40+230x^42+180x^43+254x^45+720x^46+274x^48+1440x^49+376x^51+1440x^52+294x^54+576x^55+298x^57+142x^60+66x^63+16x^66+8x^69+2x^72
The gray image is a linear code over GF(3) with n=75, k=8 and d=36.
This code was found by Heurico 1.16 in 0.299 seconds.