The generator matrix

 1  0  1  1  1 14  1  1  2  8  4  2  2  1
 0  1 11 14  5  1  0  6 14  2  8  8  0  0
 0  0 12  4  0  4 12  0  4  4  4  4  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+62x^8+48x^9+240x^10+656x^11+1697x^12+3392x^13+4192x^14+3392x^15+1697x^16+656x^17+240x^18+48x^19+62x^20+1x^28

The gray image is a code over GF(2) with n=112, k=14 and d=32.
This code was found by Heurico 1.16 in 0.155 seconds.