The generator matrix

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

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+252x^8+884x^9+2846x^10+7348x^11+15472x^12+24512x^13+28414x^14+24552x^15+15417x^16+7412x^17+2906x^18+804x^19+216x^20+24x^21+10x^22+2x^24

The gray image is a code over GF(2) with n=56, k=17 and d=16.
This code was found by Heurico 1.11 in 12.1 seconds.