The generator matrix

 1  0  1  1  1  0  2  2  1  1
 0  1 11 14  5  1  0  0  0  0
 0  0 12  4  0 12 12  0  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  0

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

Homogenous weight enumerator: w(x)=1x^0+45x^4+128x^5+232x^6+320x^7+946x^8+3136x^9+6768x^10+3136x^11+946x^12+320x^13+232x^14+128x^15+45x^16+1x^20

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 0.0394 seconds.