The generator matrix

 1  1  1  1  1  1  1  1  2  2  4  2  2  1  1
 0 12  0  0  0  4 12  4  8  0  0  8  0  0  0
 0  0 12  0  4  4 12  0  0  4  8  4  8 12  0
 0  0  0 12  4  0 12  4  4  4  4  0  4 12  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  8  0  0  0  8
 0  0  0  0  0  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  8  8  8  8

generates a code of length 15 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+27x^8+56x^9+130x^10+212x^11+702x^12+448x^13+4250x^14+4700x^15+4277x^16+472x^17+710x^18+204x^19+106x^20+48x^21+30x^22+4x^23+7x^24

The gray image is a code over GF(2) with n=120, k=14 and d=32.
This code was found by Heurico 1.16 in 0.245 seconds.