The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^8+16x^9+418x^10+336x^11+1970x^12+2720x^13+5346x^14+2720x^15+2031x^16+336x^17+374x^18+16x^19+46x^20+6x^22+2x^24

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 0.271 seconds.