The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^8+118x^9+385x^10+684x^11+1779x^12+3266x^13+3693x^14+3336x^15+1794x^16+698x^17+387x^18+76x^19+57x^20+14x^21+15x^22

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 0.698 seconds.