The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  1  1  1
 0 12  0  0  0  0  0  4 12 12  4  8  4  0
 0  0 12  0  0  0  4  0  4 12 12  8  4  0
 0  0  0 12  0  4  4  4  0  8 12  4  0  0
 0  0  0  0 12  4  0  8  4 12  4  8 12  0
 0  0  0  0  0  8  0  0  8  8  0  0  0  8
 0  0  0  0  0  0  8  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+78x^8+140x^9+201x^10+224x^11+484x^12+1676x^13+10780x^14+1696x^15+425x^16+228x^17+270x^18+128x^19+36x^20+4x^21+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 0.382 seconds.