The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+280x^10+476x^11+1018x^12+1400x^13+1725x^14+1552x^15+1100x^16+392x^17+202x^18+20x^19+24x^20+1x^22+1x^24

The gray image is a code over GF(2) with n=56, k=13 and d=20.
This code was found by Heurico 1.16 in 1.25 seconds.