The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  2  1
 0  1  3  6  5  1 12  7  1  6  3  1  0  0
 0  0  8  0  0  0  0  0  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  8  8  0  0
 0  0  0  0  8  0  0  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0
 0  0  0  0  0  0  0  8  8  8  0  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+46x^8+16x^9+113x^10+528x^11+1260x^12+3552x^13+5356x^14+3552x^15+1241x^16+528x^17+150x^18+16x^19+12x^20+12x^22+1x^26

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 0.113 seconds.