The generator matrix

 1  0  1  1  1  4  2  1  1  1
 0  1  1  0 11  1  2  3 15  0
 0  0  2  6  4  6  2  4  4  8
 0  0  0 12  0  4  8  4  4  0
 0  0  0  0  8  0  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+61x^6+276x^7+1232x^8+2784x^9+7655x^10+2824x^11+1228x^12+256x^13+59x^14+4x^15+3x^16+1x^18

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 0.121 seconds.