The generator matrix
1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 1 X 1 1 2X 1 1 0 1 1 1 1 2X 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 2X 1 1 1 1 1 2X 1 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 1 2 2X+1 1 X 1 1 X 2X+2 1 X 2X+1 2 2X 1 X+1 2X+1 1 2X X X+2 1 X 1 2 X 2X 2X+2 2X+2 2X+1 1 2X+2 2 0 1 2X 1 X+1 0
0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X 0 X X 0 0 X 0 2X X X X X X 0 X 2X X X 2X 2X 0 2X 2X 0 2X 0 0 2X 2X X 2X 0 0 0 2X 2X 2X X 2X 0
0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 X 2X X 2X X X 2X 0 0 2X X X 2X X X 0 0 X X 2X 2X 2X 2X 2X X X X 0 2X 2X 0 2X 0 X 0 0 X X 0 0
0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 0 2X 2X 2X X X 2X X 0 X 2X 2X 2X 0 0 2X X X X 0 0 X 0 0 2X X 2X 2X 2X 2X 0 X 0 2X X X X 0 0
0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 2X 0 0 X 0 2X X X 0 X 0 X X 0 2X X 2X 0 2X 0 X X 0 0 X X 2X 2X X 0 0 0 X 2X X X 0 X X X
generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.
Homogenous weight enumerator: w(x)=1x^0+62x^105+488x^108+810x^111+818x^114+1288x^117+1262x^120+960x^123+602x^126+142x^129+52x^132+34x^135+16x^138+10x^141+6x^144+2x^147+6x^150+2x^153
The gray image is a linear code over GF(3) with n=177, k=8 and d=105.
This code was found by Heurico 1.16 in 0.659 seconds.