The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  1  1
 0  1  3  6  1  1  0  3  1  6  3  1  5  5  3  5
 0  0  4  0  0  0  0  0  0  4  4  4  0  0  4  4
 0  0  0  4  0  0  0  4  0  4  4  0  0  4  4  0
 0  0  0  0  4  0  0  0  4  0  4  4  4  0  0  4
 0  0  0  0  0  4  0  4  4  0  4  0  0  0  4  4
 0  0  0  0  0  0  4  4  0  4  0  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+124x^12+448x^14+909x^16+448x^18+108x^20+10x^24

The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.219 seconds.