The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^8+44x^9+173x^10+352x^11+846x^12+1644x^13+1964x^14+1664x^15+859x^16+356x^17+162x^18+32x^19+42x^20+4x^21+4x^22+1x^26

The gray image is a code over GF(2) with n=112, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0604 seconds.