The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X
0 6 0 0 6 0 6 6 3 0 0 6 6 0 3 6 3 3 6
0 0 6 0 3 6 3 6 3 0 6 6 0 3 0 0 6 6 6
0 0 0 6 3 3 0 3 3 3 6 0 3 0 3 6 6 0 6
generates a code of length 19 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+114x^36+486x^38+108x^39+18x^45+2x^54
The gray image is a code over GF(3) with n=171, k=6 and d=108.
This code was found by Heurico 1.16 in 0.00222 seconds.