The generator matrix

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

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+68x^36+144x^37+492x^38+666x^39+1212x^40+2388x^41+2294x^42+4284x^43+6066x^44+5660x^45+10740x^46+13260x^47+11202x^48+18432x^49+19044x^50+13120x^51+18696x^52+15936x^53+9334x^54+9798x^55+6768x^56+3024x^57+2118x^58+1572x^59+514x^60+186x^61+84x^62+30x^63+12x^66+2x^69

The gray image is a linear code over GF(3) with n=75, k=11 and d=36.
This code was found by Heurico 1.16 in 99.7 seconds.