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  5  1  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  4  4  4  0  4  4
 0  0  0  4  0  0  0  0  0  4  4  4  0  0  4  0
 0  0  0  0  4  0  0  0  4  4  0  4  0  4  4  4
 0  0  0  0  0  4  0  0  4  4  0  4  4  0  4  0
 0  0  0  0  0  0  4  0  4  0  4  0  4  4  4  0
 0  0  0  0  0  0  0  4  4  4  4  0  4  0  4  4

generates a code of length 16 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+44x^10+148x^12+980x^14+1757x^16+980x^18+132x^20+44x^22+10x^24

The gray image is a code over GF(2) with n=64, k=12 and d=20.
This code was found by Heurico 1.16 in 13.7 seconds.