The generator matrix
1 0 0 1 1 1 6 1 1 1 4 6 1 1 4 1
0 1 0 1 6 7 1 1 5 4 0 1 4 6 1 2
0 0 1 1 1 0 1 1 2 7 1 2 6 3 3 7
0 0 0 2 6 2 2 4 6 2 2 2 6 4 6 4
0 0 0 0 4 4 4 0 0 0 4 0 4 4 0 4
generates a code of length 16 over Z8 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+182x^12+264x^13+460x^14+736x^15+787x^16+816x^17+424x^18+224x^19+178x^20+8x^21+12x^22+4x^24
The gray image is a code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.119 seconds.