The generator matrix

 1  0  1  1  1  1  1  1  1  0
 0  1  3  6  5 12 15 10  5  2
 0  0  8  0  0  0  8  8  8  8
 0  0  0  8  0  8  8  8  0  8
 0  0  0  0  8  8  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+20x^7+162x^8+480x^9+704x^10+520x^11+152x^12+4x^15+5x^16

The gray image is a code over GF(2) with n=80, k=11 and d=28.
This code was found by Heurico 1.16 in 0.108 seconds.