The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  1  1  1
 0  1  0  0  4  1  5  1  6  2  5  7  0  6  3  0
 0  0  1  0  5  1  4  5  0  5  3  2  7  6  2  0
 0  0  0  1  1  4  5  5  3  6  7  0  6  4  5  2

generates a code of length 16 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+103x^12+370x^13+527x^14+726x^15+672x^16+720x^17+502x^18+344x^19+109x^20+14x^21+3x^22+2x^23+3x^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 0.0786 seconds.