The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  2  1  1
 0  1 11  6  5  1  0  3  1  8  6  8 11 11
 0  0 12  0  4  0  4  0  4  4 12  0  4  4
 0  0  0 12  4  4  4  0  0  0 12  4  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  8  8
 0  0  0  0  0  0  0  8  8  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+138x^8+774x^10+928x^11+5270x^12+14464x^13+22398x^14+14400x^15+5363x^16+896x^17+754x^18+32x^19+106x^20+10x^22+2x^24

The gray image is a code over GF(2) with n=112, k=16 and d=32.
This code was found by Heurico 1.16 in 1.81 seconds.