The generator matrix
1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1
0 X 2X 0 X+3 2X 0 X+3 2X 0 6 6 2X+6 X+3 2X 0
0 0 6 0 0 0 6 3 6 3 3 3 3 3 6 0
0 0 0 6 0 6 6 6 0 6 3 0 3 3 3 6
0 0 0 0 3 3 6 6 6 0 6 3 6 3 3 0
generates a code of length 16 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+84x^24+18x^26+146x^27+54x^28+108x^29+1278x^30+216x^31+1674x^32+2292x^33+216x^34+144x^35+222x^36+90x^39+18x^42
The gray image is a code over GF(3) with n=144, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0401 seconds.