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

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+260x^90+210x^91+294x^92+958x^93+432x^94+546x^95+1526x^96+618x^97+672x^98+1724x^99+762x^100+900x^101+1832x^102+828x^103+726x^104+1972x^105+720x^106+612x^107+1648x^108+552x^109+384x^110+692x^111+162x^112+204x^113+256x^114+84x^115+30x^116+48x^117+6x^118+6x^119+10x^120+8x^123

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 4.8 seconds.