The generator matrix

 1  0  1  1  1 10  2  2  2  1
 0  1  1  0  3  1  1  8  1  4
 0  0  2  0  6 10  4  2  6  2
 0  0  0  2  6 12  6  6  2  0
 0  0  0  0  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+100x^6+576x^7+1984x^8+7728x^9+11952x^10+7792x^11+1996x^12+528x^13+92x^14+16x^15+3x^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 0.469 seconds.