The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+97x^12+392x^13+504x^14+736x^15+628x^16+816x^17+432x^18+352x^19+119x^20+8x^21+8x^22+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 1.11 in 0.747 seconds.