The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  0  X  1  1  1  1  0  1  1  1  1  X  1  1  1  0  1  1  0 2X  1  1  1  1  1  1  1  1  1  1 2X  1  1  1  1  1  1 2X  1  1  0 2X  1  1  X  1
 0  1  1  2  0  1  2  1 2X+1  1  0  2 X+2 2X+1  0  1  1  0  2 2X+1  0  1 2X+1  2 X+2  X  1 X+1  X X+2  1  0 2X+1  1  1 2X 2X+2 2X+1  X  1  X X+2  0 2X+2  1  1  2 X+2  1  2 X+2 2X+1  1 X+2 X+2  1  1 X+1  1  X  0
 0  0 2X  0  0  0  0  0  0  0 2X  X  X 2X 2X 2X 2X 2X 2X  X 2X  X  X  0  X 2X  0 2X  X  X  0  X  0 2X  X 2X  X  0 2X 2X  X 2X  X  0  X 2X 2X 2X  0  0  0 2X 2X  X  0  0  0  X  0  X 2X
 0  0  0  X  0  0  0  X 2X  X  0 2X  X 2X 2X  0 2X 2X  0  0 2X 2X  0 2X  X  0  X  X  X 2X  0  0 2X  X 2X  X  0  0 2X  0 2X  0 2X 2X  X  0  X  0  X  0  X  X 2X  0  X  0  X 2X  0 2X  X
 0  0  0  0  X  0  X  X  X  X  X 2X  0  X  X  0 2X  0  0  0  X  0 2X  0 2X 2X 2X  X  X  0  X  X  X 2X  X  X 2X  X 2X  X  0 2X  0  0  0  0  0 2X  X  0 2X  X 2X  X  X  X  0 2X  X  X 2X
 0  0  0  0  0 2X 2X  0 2X  X  0 2X  X  X 2X 2X  X  X 2X  0  0  0 2X  X  0 2X 2X  0 2X  0 2X 2X  X 2X  0  X 2X  0  0  0  X  X 2X 2X  0  X  X  0 2X  0  0 2X 2X  X  X  0 2X  X  X 2X  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+162x^110+164x^111+294x^113+312x^114+528x^116+218x^117+720x^119+400x^120+852x^122+374x^123+834x^125+264x^126+576x^128+248x^129+312x^131+90x^132+96x^134+24x^135+38x^138+22x^141+2x^144+12x^147+8x^150+4x^153+2x^156+4x^159

The gray image is a linear code over GF(3) with n=183, k=8 and d=110.
This code was found by Heurico 1.16 in 6.43 seconds.