The generator matrix
1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X X 0 6
0 X 2X 6 X+3 2X+6 3 X+6 2X+3 0 X+3 2X X+3 6 X+6 X+6 2X+6 X X
generates a code of length 19 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 37.
Homogenous weight enumerator: w(x)=1x^0+132x^37+36x^38+2x^39+66x^40+4x^42+2x^48
The gray image is a code over GF(3) with n=171, k=5 and d=111.
This code was found by Heurico 1.16 in 0.00178 seconds.