The generator matrix

 1  0  1  1  1  0  1  1  1  1
 0  1  3  6  5  1  0  0  0  0
 0  0  8  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  0  0  8
 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

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

Homogenous weight enumerator: w(x)=1x^0+53x^4+96x^5+48x^6+480x^7+1354x^8+5568x^9+17568x^10+5568x^11+1354x^12+480x^13+48x^14+96x^15+53x^16+1x^20

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 0.204 seconds.