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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+88x^90+42x^91+48x^92+340x^93+132x^94+150x^95+506x^96+192x^97+240x^98+580x^99+282x^100+324x^101+614x^102+354x^103+372x^104+702x^105+234x^106+192x^107+490x^108+162x^109+114x^110+182x^111+54x^112+18x^113+54x^114+6x^115+28x^117+28x^120+16x^123+10x^126+6x^129

The gray image is a linear code over GF(3) with n=153, k=8 and d=90.
This code was found by Heurico 1.16 in 0.587 seconds.