The generator matrix

 1  1  1  1  2  0  1  1  4  2  0  1  1  2
 0  2  0 14  6  2  4  6  0 14  2 14  0  8
 0  0 12  4  0 12  4  0  4 12  0 12  0  4
 0  0  0  8  0  0  0  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  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+109x^8+32x^9+608x^10+928x^11+4744x^12+3136x^13+13632x^14+3136x^15+4779x^16+928x^17+608x^18+32x^19+88x^20+7x^24

The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 0.759 seconds.