The generator matrix

 1  1  1  1  2  2  2  1  1  1
 0  2  0  2  4  2 14 12 12  4
 0  0  2  2  2  6  4  4  4  2
 0  0  0  4  0  4  8  4  4  8
 0  0  0  0  8  8  8  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+59x^6+136x^7+758x^8+1376x^9+3491x^10+1456x^11+744x^12+96x^13+65x^14+8x^15+1x^16+1x^18

The gray image is a code over GF(2) with n=80, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0608 seconds.