The generator matrix

 1  0  1  1  1 14  1  1  8  2  1 14  1  2  0  2
 0  1 11 14  5  1  0  3  1  4  5  1 13  8  1  0
 0  0 12  4  0  4 12  0 12  4  0  4  4  4  0  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0

generates a code of length 16 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+10x^9+56x^10+98x^11+304x^12+1090x^13+3264x^14+5962x^15+11177x^16+5982x^17+3288x^18+1094x^19+280x^20+86x^21+48x^22+14x^23+14x^24

The gray image is a code over GF(2) with n=128, k=15 and d=36.
This code was found by Heurico 1.16 in 1.25 seconds.