The generator matrix

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

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+222x^37+486x^38+588x^39+1452x^40+2202x^41+2040x^42+4746x^43+6078x^44+5540x^45+10506x^46+13464x^47+11384x^48+17802x^49+19086x^50+14184x^51+17910x^52+15960x^53+9232x^54+9954x^55+6840x^56+2522x^57+2778x^58+1446x^59+390x^60+240x^61+48x^62+32x^63+14x^66

The gray image is a linear code over GF(3) with n=75, k=11 and d=37.
This code was found by Heurico 1.16 in 128 seconds.