The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0 12  0  0  0  0  0  4  8  0
 0  0 12  0  0  0  4  0  8  0
 0  0  0 12  0  4  4  4 12  0
 0  0  0  0 12  4  0  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+173x^6+300x^7+485x^8+1678x^9+10877x^10+1608x^11+457x^12+342x^13+207x^14+76x^15+30x^16+2x^17+7x^18

The gray image is a code over GF(2) with n=80, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0852 seconds.