The generator matrix

 1  1  1  1  1  2  1  1  1  1
 0  2  0  0  0  4  2 14  0  8
 0  0  2  0  0  2  2  2  4  0
 0  0  0  2  0  2  4  0  6  4
 0  0  0  0  2  2 12  6  2  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^5+354x^6+1348x^7+3677x^8+10602x^9+33377x^10+10640x^11+3742x^12+1304x^13+316x^14+92x^15+4x^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 1.35 seconds.