The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^8+32x^9+470x^10+640x^11+2422x^12+2368x^13+4254x^14+2432x^15+2339x^16+672x^17+514x^18+106x^20+10x^22+2x^24

The gray image is a code over GF(2) with n=56, k=14 and d=16.
This code was found by Heurico 1.16 in 0.463 seconds.