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.