The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^8+44x^9+292x^10+224x^11+1218x^12+1260x^13+1960x^14+1280x^15+1239x^16+228x^17+292x^18+32x^19+38x^20+4x^21+16x^22

The gray image is a code over GF(2) with n=56, k=13 and d=16.
This code was found by Heurico 1.16 in 0.133 seconds.