The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  1  1  1  1  1
 0 X^2  0  0  0  0  0  0  0  0 X^2 2X^2 2X^2 X^2 X^2 X^2  0 2X^2 X^2 2X^2 X^2  0 2X^2  0 X^2 X^2  0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2  0 2X^2 2X^2 2X^2 X^2 X^2  0 2X^2 2X^2 2X^2  0  0 2X^2  0 2X^2  0  0
 0  0 X^2  0  0  0  0 X^2 2X^2 2X^2 2X^2  0  0 2X^2 X^2 2X^2 X^2  0 X^2 X^2  0 2X^2 X^2  0 2X^2 X^2 2X^2  0 X^2  0 2X^2 2X^2 2X^2 X^2 X^2  0 X^2 2X^2  0 2X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 2X^2  0  0 X^2
 0  0  0 X^2  0  0 X^2 2X^2  0 2X^2  0  0 2X^2 X^2 X^2 2X^2  0 X^2  0 2X^2  0 2X^2 2X^2  0 2X^2  0 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2 X^2  0  0 2X^2  0 X^2 X^2  0 2X^2  0
 0  0  0  0 X^2  0 2X^2 2X^2 X^2  0 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 2X^2 X^2  0 2X^2 2X^2 2X^2 X^2  0  0 2X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 2X^2  0  0 2X^2 X^2 2X^2 2X^2 X^2 X^2  0 2X^2 X^2 2X^2 2X^2  0 X^2 2X^2
 0  0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2  0 X^2  0  0 2X^2 X^2 2X^2  0 2X^2 X^2  0 X^2  0 X^2 2X^2 X^2 2X^2 X^2 X^2  0  0  0  0  0 X^2  0 X^2 X^2

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+96x^93+134x^96+110x^99+162x^100+60x^102+648x^103+4374x^104+66x^105+648x^106+66x^108+44x^111+42x^114+58x^117+8x^120+26x^123+8x^126+8x^129+2x^150

The gray image is a linear code over GF(3) with n=468, k=8 and d=279.
This code was found by Heurico 1.16 in 0.734 seconds.