The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0  2  0  0  4 14 10  4  0  4
 0  0  2  0  6 14  6  0  2  0
 0  0  0  2  2 12  6  4  2  2
 0  0  0  0  8  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+36x^5+187x^6+726x^7+1594x^8+5634x^9+16403x^10+5644x^11+1600x^12+728x^13+177x^14+30x^15+5x^16+2x^17+1x^18

The gray image is a code over GF(2) with n=80, k=15 and d=20.
This code was found by Heurico 1.16 in 0.351 seconds.