The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1
 0  2  0  6  0  6  4  6  0  6  6  4  2  6  0  0
 0  0  4  0  0  0  4  0  0  4  4  0  4  0  4  0
 0  0  0  4  0  0  0  4  4  4  0  4  4  0  4  0
 0  0  0  0  4  4  4  4  4  0  0  4  0  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+10x^12+58x^14+122x^16+52x^18+9x^20+2x^22+1x^24+1x^28

The gray image is a code over GF(2) with n=64, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00164 seconds.