The generator matrix

 1  1  1  1  1  2  1  1  2  1
 0  2  0  0  0 10  2 14 12  0
 0  0  2  0  2  2  2  6  0  0
 0  0  0  2  2  0  8  2  2  4
 0  0  0  0  4 12  8  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+34x^5+183x^6+686x^7+2025x^8+6438x^9+14014x^10+6468x^11+2030x^12+678x^13+171x^14+30x^15+8x^16+2x^17

The gray image is a code over GF(2) with n=80, k=15 and d=20.
This code was found by Heurico 1.16 in 0.366 seconds.