The generator matrix

 1  1  1  1  2  1  1  0  1  1  4  1  1  1
 0  2  0  6  2  0 14  2 10  4  8  0  0  0
 0  0 12  0  0  0  4 12  8  4  4  4  8  0
 0  0  0 12  0 12  4 12 12  4  4 12  0  0
 0  0  0  0  4  0  4  8  4 12  4  8  4  0
 0  0  0  0  0  8  8  8  0  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+63x^8+90x^9+226x^10+434x^11+1571x^12+3036x^13+5480x^14+3124x^15+1592x^16+386x^17+234x^18+90x^19+37x^20+8x^21+12x^22

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 0.345 seconds.