The generator matrix

 1  0  0  1  1  1  2  1  1  1
 0  1  0  2  5  7  1  0  2  0
 0  0  1  1  3  2  1  6  2  0
 0  0  0  8  0  0  8  0  0  8
 0  0  0  0  8  0  8  8  8  8
 0  0  0  0  0  8  8  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+111x^6+352x^7+2350x^8+6048x^9+15035x^10+6048x^11+2376x^12+352x^13+85x^14+9x^16+1x^18

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 4.51 seconds.