The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  4  2
 0 12  0  0  0  4 12  4  8  0  0  0  8  8
 0  0 12  0  4  4 12  0  0  4 12  8  0  8
 0  0  0 12  4  0 12  4  4  4  0  4  4  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  8
 0  0  0  0  0  0  8  0  8  0  8  0  8  0
 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+149x^8+378x^10+384x^11+946x^12+3712x^13+5234x^14+3712x^15+957x^16+384x^17+398x^18+118x^20+6x^22+5x^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 0.288 seconds.