The generator matrix

 1  0  0  0  1  1  1  1  1  1
 0  1  0  0 11  2  1 11 10  0
 0  0  1  0  1  0  3  2  1  0
 0  0  0  1  1  5  1  2  7  0
 0  0  0  0 12  4  8  4  0  8

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

Homogenous weight enumerator: w(x)=1x^0+72x^5+575x^6+3724x^7+15982x^8+55328x^9+110747x^10+55368x^11+16008x^12+3704x^13+549x^14+76x^15+9x^16+1x^18

The gray image is a code over GF(2) with n=80, k=18 and d=20.
This code was found by Heurico 1.16 in 25.2 seconds.