The generator matrix

 1  1  1  1  2  1  1  0  2  1  1  2  1  1
 0  2 12  6  6  0  6  2  2 12  6  6  6  6
 0  0  8  0  0  0  0  0  0  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  0  8  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+85x^8+32x^9+112x^10+288x^11+1568x^12+3776x^13+4640x^14+3776x^15+1603x^16+288x^17+112x^18+32x^19+64x^20+7x^24

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 0.162 seconds.