The generator matrix

 1  0  0  1  1  1  1  1  1  1
 0  1  0  1  6  7  8  1  8  2
 0  0  1  1  3  2  3  2  0  1
 0  0  0 12  0  0  4  8 12  0
 0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+22x^5+115x^6+848x^7+4154x^8+14230x^9+26787x^10+14240x^11+4160x^12+850x^13+105x^14+16x^15+5x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=80, k=16 and d=20.
This code was found by Heurico 1.16 in 0.678 seconds.