The generator matrix

 1  0  1  1  1  0  1  1  2  1
 0  1 11  6  1  1  3  3  8  0
 0  0 12  0  0  0  0  4  8  0
 0  0  0 12  0 12  4  4 12  0
 0  0  0  0  4  0  4  0  8  0
 0  0  0  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  8  0  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+51x^4+90x^5+237x^6+1580x^7+4837x^8+11662x^9+28669x^10+11592x^11+4809x^12+1622x^13+271x^14+76x^15+30x^16+2x^17+7x^18

The gray image is a code over GF(2) with n=80, k=16 and d=16.
This code was found by Heurico 1.16 in 0.595 seconds.