The generator matrix

 1  1  1  1  2  2  2  1  1  1
 0  2  0  2  0  2 14  8  8  0
 0  0  2  2  2  2  0  0  0  0
 0  0  0  4  0  0  4  0  8  0
 0  0  0  0  4  0  4  8  8  0
 0  0  0  0  0  4  4 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+96x^4+108x^5+597x^6+1468x^7+4916x^8+12760x^9+25643x^10+12760x^11+4916x^12+1468x^13+603x^14+108x^15+87x^16+5x^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 0.853 seconds.