The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^10+80x^11+544x^12+1040x^13+1712x^14+2976x^15+3529x^16+2976x^17+1736x^18+1040x^19+520x^20+80x^21+64x^22+14x^24

The gray image is a code over GF(2) with n=64, k=14 and d=20.
This code was found by Heurico 1.16 in 8.87 seconds.