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

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+100x^36+210x^38+330x^39+1128x^41+850x^42+3456x^44+2620x^45+8508x^47+4778x^48+11658x^50+5362x^51+9720x^53+3876x^54+4134x^56+1462x^57+552x^59+208x^60+72x^63+16x^66+6x^69+2x^75

The gray image is a linear code over GF(3) with n=75, k=10 and d=36.
This code was found by Heurico 1.16 in 11.2 seconds.