The generator matrix

 1  0  0  1  1  1 14  1  1  1
 0  1  0  1  6  7  1  8  0  6
 0  0  1  1  3  2  3  0  4  5
 0  0  0 12  0  8 12  4  4  8
 0  0  0  0  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+77x^6+404x^7+2320x^8+6240x^9+14663x^10+6280x^11+2316x^12+384x^13+75x^14+4x^15+3x^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 0.403 seconds.