The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 3 0 0 0 0 3 3 6 3 0 6 6 0
0 0 3 0 0 3 6 6 0 0 3 3 6 0
0 0 0 3 0 6 6 6 0 6 6 0 6 6
0 0 0 0 3 6 6 0 3 3 0 6 3 3
generates a code of length 14 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.
Homogenous weight enumerator: w(x)=1x^0+34x^21+50x^24+50x^27+1944x^28+46x^30+38x^33+12x^36+10x^39+2x^42
The gray image is a code over GF(3) with n=126, k=7 and d=63.
This code was found by Heurico 1.16 in 0.0277 seconds.