The generator matrix

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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+444x^93+1260x^96+1244x^99+1086x^102+1050x^105+676x^108+522x^111+228x^114+50x^117

The gray image is a linear code over GF(3) with n=153, k=8 and d=93.
This code was found by Heurico 1.16 in 0.442 seconds.