The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  1  1  2  2
 0  2  0  2  0  0  2  6  4  4  4  0  2  6  2  6
 0  0  2  2  0  6  2  4  0  2  2  0  6  4  6  0
 0  0  0  4  0  0  4  0  0  4  0  4  0  4  4  0
 0  0  0  0  4  0  0  0  4  4  0  4  4  4  0  0
 0  0  0  0  0  4  4  4  4  0  4  0  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+82x^12+16x^13+176x^14+112x^15+258x^16+112x^17+168x^18+16x^19+73x^20+8x^22+1x^24+1x^28

The gray image is a code over GF(2) with n=64, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0097 seconds.