The generator matrix

 1  0  1  1  1 14  1  1  1  1
 0  1 11  6  1  1 11  8  3  0
 0  0 12  0  0  0  4  8 12  4
 0  0  0 12  0  4  4  8  4  8
 0  0  0  0  4  8  4 12  8  4

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

Homogenous weight enumerator: w(x)=1x^0+102x^6+128x^7+912x^8+3712x^9+6668x^10+3712x^11+932x^12+128x^13+78x^14+11x^16

The gray image is a code over GF(2) with n=80, k=14 and d=24.
This code was found by Heurico 1.16 in 0.268 seconds.