The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^8+128x^9+624x^10+896x^11+1780x^12+3072x^13+3152x^14+3072x^15+1891x^16+896x^17+560x^18+128x^19+76x^20+16x^22+1x^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 0.455 seconds.