The generator matrix

 1  0  0  0  1  1  1  1  1  X  1  1  1  1  X  1  1  1  0  1  X  1 2X  1  1  X  1  X  1  1  X  1  1  1  1 2X  1  1 2X 2X  X 2X  X  1  1  0  1  1  1  1  1
 0  1  0  0  0 2X 2X  X  X  0  1  2  1 X+2  1 2X+2 2X+2 2X+1  1 2X+1  1 2X+1  X X+2 2X+1  1 X+2  1  1 2X+2  1 2X+1  2 X+2  2  1  1  1  1  1  1  1  X  2 2X+2  1  0  0 2X 2X 2X
 0  0  1  0  0 2X+1  2 2X+1 2X+2  1  2 2X  1 X+1 X+1  1  1 2X+1 2X+1  1  2  2  1  2  X  0 X+2 2X+2 2X+1 2X+1 X+2 X+2  2  X 2X  1 X+2  2  0 2X+1  X  2 2X 2X+2 2X+1 X+2 X+2 2X  1  X 2X+1
 0  0  0  1  1 2X+2  2 X+1  X 2X+2  1 2X+2  0 2X+2 X+1  X 2X+1 X+2  0 2X+1  X  2 X+1 X+1 2X+2  1  0  2  2  1 2X+2  0 X+2 2X 2X+2 X+2  X X+1 2X  X 2X+1 X+1  1  1  2 2X 2X X+1  0 X+1 2X+2
 0  0  0  0 2X 2X  0  0 2X  0  X  X 2X  0  X  0  X  X  X 2X  0 2X 2X  X  X  X  0 2X  0 2X  0 2X  X 2X  0  0  X  0  X  0  0 2X  X  X  X  X  0  X  0  X  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+224x^90+216x^91+366x^92+746x^93+600x^94+840x^95+1058x^96+870x^97+846x^98+1270x^99+1014x^100+936x^101+1386x^102+1098x^103+1170x^104+1406x^105+1038x^106+942x^107+1008x^108+618x^109+474x^110+654x^111+318x^112+204x^113+182x^114+54x^115+48x^116+62x^117+6x^118+6x^119+22x^120

The gray image is a linear code over GF(3) with n=153, k=9 and d=90.
This code was found by Heurico 1.16 in 4.47 seconds.