The generator matrix

 1  0  1  1  1 12  2  2  1  1
 0  1  1 12 11  1  4  0  0  0
 0  0  2  6  4  6  2  0  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  0

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

Homogenous weight enumerator: w(x)=1x^0+93x^4+128x^5+696x^6+352x^7+2562x^8+5664x^9+13776x^10+5664x^11+2562x^12+352x^13+696x^14+128x^15+93x^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 0.143 seconds.