The generator matrix

 1  1  1  1  2  1  1  1  1  1  1  2  2  1
 0  2  0  6  2  0  6  0 14  4  6 14 14  0
 0  0 12  0  0  0  4  4  4 12  4 12  4  0
 0  0  0 12  0 12  4  0  4 12  0  8 12 12
 0  0  0  0  4  0  0 12  4  4  4  8 12 12
 0  0  0  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  8  8  0  0  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+69x^8+140x^9+349x^10+840x^11+2591x^12+5180x^13+14417x^14+5136x^15+2670x^16+868x^17+327x^18+104x^19+45x^20+20x^21+11x^22

The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 1.06 seconds.