The generator matrix

 1  0  0  1  1  1  6  1  1  1
 0  1  0  1  6  7  1  8  2  8
 0  0  1  1  3  2  3  4  2  4
 0  0  0  8  0  0  8  0  8  0
 0  0  0  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^6+176x^7+1132x^8+3024x^9+7596x^10+3024x^11+1132x^12+176x^13+54x^14+7x^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 0.115 seconds.