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

generates a code of length 34 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+140x^54+214x^57+396x^60+762x^63+1426x^66+13122x^68+1564x^69+1228x^72+466x^75+184x^78+106x^81+54x^84+16x^87+4x^90

The gray image is a code over GF(3) with n=306, k=9 and d=162.
This code was found by Heurico 1.16 in 1.67 seconds.