The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1  4  6  1  1
 0  1  0  0  0  1  4  5  1  6  1  7  6  2  2  6
 0  0  1  0  0  1  5  4  5  1  2  5  6  1  7  0
 0  0  0  1  3  4  1  5  5  6  4  1  1  2  4  7
 0  0  0  0  4  0  0  0  0  0  4  4  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+412x^12+448x^13+1048x^14+1328x^15+1657x^16+1392x^17+1136x^18+400x^19+324x^20+16x^21+24x^22+6x^24

The gray image is a code over GF(2) with n=64, k=13 and d=24.
This code was found by Heurico 1.16 in 47.5 seconds.