The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^4+74x^5+354x^6+676x^7+2253x^8+5390x^9+15120x^10+5400x^11+2247x^12+678x^13+362x^14+68x^15+66x^16+2x^17+4x^18

The gray image is a code over GF(2) with n=80, k=15 and d=16.
This code was found by Heurico 1.16 in 0.258 seconds.