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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+56x^96+18x^98+120x^99+72x^101+122x^102+180x^104+96x^105+468x^107+4442x^108+576x^110+62x^111+144x^113+44x^114+38x^117+32x^120+30x^123+32x^126+14x^129+8x^132+2x^135+2x^138+2x^147

The gray image is a code over GF(3) with n=486, k=8 and d=288.
This code was found by Heurico 1.16 in 0.341 seconds.