The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+132x^36+42x^38+336x^39+36x^40+228x^41+410x^42+432x^43+918x^44+598x^45+2160x^46+3066x^47+836x^48+5760x^49+6798x^50+1014x^51+8640x^52+8712x^53+1088x^54+6912x^55+5154x^56+942x^57+2304x^58+1074x^59+630x^60+252x^62+354x^63+150x^66+52x^69+14x^72+4x^75

The gray image is a linear code over GF(3) with n=78, k=10 and d=36.
This code was found by Heurico 1.16 in 24.9 seconds.