The generator matrix

 1  0  1  1  1 12  1  1  2 12
 0  1  1  0 11  1 15 14  2  1
 0  0  2  6  0  2  2  0  2  2
 0  0  0 12  0  0  8  4  4 12
 0  0  0  0 12 12 12  8 12  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+152x^6+320x^7+2570x^8+6848x^9+12976x^10+6848x^11+2600x^12+320x^13+120x^14+13x^16

The gray image is a code over GF(2) with n=80, k=15 and d=24.
This code was found by Heurico 1.16 in 22.9 seconds.