The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+48x^9+212x^10+368x^11+1279x^12+1120x^13+2136x^14+1120x^15+1279x^16+368x^17+212x^18+48x^19+1x^28

The gray image is a code over GF(2) with n=56, k=13 and d=18.
This code was found by Heurico 1.16 in 9.4 seconds.