The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^4+128x^5+744x^6+576x^7+4414x^8+11584x^9+30456x^10+11584x^11+4372x^12+576x^13+792x^14+128x^15+73x^16+8x^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 0.552 seconds.