The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  0 2X  1 2X  1  1  1  X  1  1  1  X  1  0  1  1  0  1  1  1  1  1  1  0  1  X  0  1  1  1  1  1  1 2X  1  X  1  X  1  1
 0  1  0  0  0  1  2  1 2X+1  2 2X+2  1  1  0  1 2X+2 2X+1  X  1 X+2 2X+1 2X  1 X+2  X X+2 2X  1  X X+1 X+1 2X+2  2  0  1  X  X  1 2X 2X+1 2X+1 2X+1  0  2 2X  2  1  X  1 X+1  0
 0  0  1  1  2  2  2  1 2X  0 2X+1  2 2X+1  0 X+1 X+1 2X+2 X+2 X+2  2 2X+1  1  X  0  1 X+1 2X 2X+1 2X+2  0 2X+2  2  X 2X+1  0 2X+1  1 X+1 2X+2 2X+2  1  0 2X  X  1  1 X+2 X+1  2 2X+2  X
 0  0  0 2X  0  0  0  0  0 2X 2X  X 2X 2X  X  0 2X 2X 2X  X  X  0  0 2X  X 2X  X  X 2X  X 2X  X  0  X  X 2X  X 2X  X  0  X  0  0  X  0  0  X  X  0 2X 2X
 0  0  0  0  X  0  X 2X 2X 2X 2X  0  X  X 2X  X  0 2X 2X  0  0  X  X  X  X  X 2X  0 2X 2X  X  0 2X 2X  X  X  0  0  X  0  0 2X  X 2X  X  0  X  0  X  0  X
 0  0  0  0  0 2X  X  X  0  X  0  X  X  X 2X 2X  0  X  0  X  X  X 2X  0  X 2X  0  0 2X  X  0 2X  X  0  0 2X  0  X 2X  0 2X 2X  X 2X  0  0 2X  X  0  0  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+606x^90+1500x^93+2514x^96+3334x^99+3528x^102+3546x^105+2942x^108+1176x^111+366x^114+150x^117+6x^120+14x^126

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 12 seconds.