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  1  1  X  1  X  1  X  1  1  X  X  1
 0  6  0  0  0  0  0  0  0  0  6  3  3  6  6  6  0  3  6  3  6  0  3  0  6  6  0  3  6  3  3  3  6  6  0  3  6  6  6  6  0  0  0  6  3  0  3  6  3  3  0  0  6
 0  0  6  0  0  0  0  6  3  3  3  0  0  3  6  3  6  0  6  6  0  3  6  0  3  6  3  0  6  0  3  3  3  6  0  3  6  3  3  6  6  3  3  6  0  6  6  0  6  3  0  0  3
 0  0  0  6  0  0  6  3  0  3  0  0  3  6  6  3  0  6  0  3  0  3  3  0  3  0  6  3  3  6  6  6  3  0  3  3  0  0  3  6  0  6  0  6  3  3  0  3  3  0  6  6  3
 0  0  0  0  6  0  3  3  6  0  3  3  3  0  3  3  0  3  6  0  3  3  3  6  0  0  3  6  0  6  0  6  0  3  3  0  6  6  6  6  3  0  3  3  0  3  0  0  3  3  0  0  6
 0  0  0  0  0  6  3  3  3  3  3  3  6  3  6  6  3  6  3  3  3  3  0  3  0  6  0  0  3  6  3  0  3  6  6  6  6  6  6  0  0  0  3  6  6  6  0  0  3  6  0  3  0

generates a code of length 53 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+172x^96+178x^99+270x^102+648x^105+4374x^106+494x^108+216x^111+84x^114+34x^117+62x^123+20x^126+6x^132+2x^144

The gray image is a code over GF(3) with n=477, k=8 and d=288.
This code was found by Heurico 1.16 in 85.2 seconds.