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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+50x^108+150x^111+234x^114+296x^117+606x^120+1148x^123+1576x^126+1402x^129+508x^132+162x^135+152x^138+82x^141+86x^144+62x^147+26x^150+14x^153+4x^156+2x^171

The gray image is a linear code over GF(3) with n=189, k=8 and d=108.
This code was found by Heurico 1.16 in 1.26 seconds.