The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+32x^6+16x^7+141x^8+144x^9+416x^10+624x^11+2408x^12+1264x^13+22656x^14+1264x^15+2443x^16+624x^17+416x^18+144x^19+120x^20+16x^21+32x^22+7x^24

The gray image is a code over GF(2) with n=112, k=15 and d=24.
This code was found by Heurico 1.16 in 0.601 seconds.