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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+68x^96+270x^99+340x^102+546x^105+964x^108+1478x^111+2812x^114+3824x^117+3770x^120+2692x^123+1414x^126+642x^129+328x^132+278x^135+134x^138+84x^141+26x^144+8x^147+4x^150

The gray image is a linear code over GF(3) with n=177, k=9 and d=96.
This code was found by Heurico 1.16 in 10.3 seconds.