The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^9+349x^10+1032x^11+1942x^12+2940x^13+3608x^14+2960x^15+1951x^16+1036x^17+330x^18+104x^19+10x^20+4x^21+1x^26

The gray image is a code over GF(2) with n=56, k=14 and d=18.
This code was found by Heurico 1.16 in 3.94 seconds.