The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+80x^11+141x^12+212x^13+184x^14+214x^15+97x^16+58x^17+24x^18+10x^19+1x^20+2x^21

The gray image is a code over GF(2) with n=56, k=10 and d=22.
This code was found by Heurico 1.16 in 0.00555 seconds.