The generator matrix

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

generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+54x^37+78x^38+242x^39+486x^40+462x^41+1116x^42+1770x^43+1398x^44+2540x^45+4242x^46+2574x^47+4502x^48+7302x^49+3606x^50+5738x^51+7560x^52+3192x^53+4042x^54+3966x^55+1560x^56+1244x^57+744x^58+252x^59+218x^60+120x^61+32x^63+6x^66+2x^69

The gray image is a linear code over GF(3) with n=75, k=10 and d=37.
This code was found by Heurico 1.16 in 12.2 seconds.