The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 6 0 0 0 0 6 3 3 0 6 3 3 0 3 0 6
0 0 6 0 0 6 3 0 3 0 3 0 3 6 3 3 3
0 0 0 6 0 3 3 6 0 6 6 0 0 3 3 3 3
0 0 0 0 6 3 3 3 3 3 3 6 6 6 0 3 0
generates a code of length 17 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.
Homogenous weight enumerator: w(x)=1x^0+28x^27+78x^30+32x^33+1944x^34+38x^36+30x^39+20x^42+14x^45+2x^51
The gray image is a code over GF(3) with n=153, k=7 and d=81.
This code was found by Heurico 1.16 in 0.00861 seconds.