The generator matrix

 1  1  1  1  2  8  8  4  2  1
 0  2  0  2  2  2  4  4  4  8
 0  0  2  2  6  4  2  2  2  8
 0  0  0  8  0  0  8  0  0  8
 0  0  0  0  8  8  0  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+14x^6+140x^7+304x^8+1016x^9+1156x^10+1008x^11+300x^12+136x^13+14x^14+4x^15+3x^16

The gray image is a code over GF(2) with n=80, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0117 seconds.