The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^5+216x^6+628x^7+1930x^8+6484x^9+14128x^10+6504x^11+1960x^12+632x^13+184x^14+36x^15+13x^16+4x^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 26.9 seconds.