The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+534x^110+402x^111+1260x^113+726x^114+1716x^116+976x^117+1938x^119+1018x^120+2202x^122+1090x^123+2070x^125+1002x^126+1734x^128+730x^129+1098x^131+394x^132+426x^134+170x^135+114x^137+28x^138+30x^140+22x^141+2x^144

The gray image is a linear code over GF(3) with n=183, k=9 and d=110.
This code was found by Heurico 1.16 in 813 seconds.