The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+25x^6+48x^7+128x^8+592x^9+463x^10+592x^11+124x^12+48x^13+23x^14+3x^16+1x^18

The gray image is a code over GF(2) with n=80, k=11 and d=24.
This code was found by Heurico 1.16 in 0.00429 seconds.