The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  1  6  1  1  1
 0  1  0  1  2  3  1  1  0  7  2  7  1  5  3  0
 0  0  1  1  1  0  3  2  2  2  3  3  3  3  2  0
 0  0  0  2  0  6  2  6  6  4  2  6  4  0  2  4
 0  0  0  0  4  0  0  4  4  4  4  4  0  0  0  0
 0  0  0  0  0  4  0  4  0  0  0  4  4  0  0  4
 0  0  0  0  0  0  4  4  4  0  0  4  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+51x^10+164x^11+386x^12+1180x^13+1613x^14+3280x^15+3050x^16+3256x^17+1631x^18+1156x^19+401x^20+172x^21+31x^22+8x^23+1x^24+2x^26+1x^28

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 0.828 seconds.