The generator matrix

 1  1  1  1  2  0  2  1  1  1
 0  2  0  2  2  2  4  0  0  0
 0  0  2  2  6 12  2  0  0  0
 0  0  0  8  0  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+52x^4+192x^5+104x^6+960x^7+1390x^8+8064x^9+11256x^10+8064x^11+1348x^12+960x^13+152x^14+192x^15+25x^16+8x^18

The gray image is a code over GF(2) with n=80, k=15 and d=16.
This code was found by Heurico 1.16 in 0.209 seconds.