The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+124x^102+206x^105+346x^108+512x^111+898x^114+1506x^117+1288x^120+890x^123+314x^126+170x^129+90x^132+104x^135+64x^138+22x^141+22x^144+2x^147+2x^153

The gray image is a linear code over GF(3) with n=177, k=8 and d=102.
This code was found by Heurico 1.16 in 1.15 seconds.