The generator matrix

 1  0  1  1  1  0  1  1  2  1
 0  1  3  6  5  1  0  0  0  0
 0  0  8  0  0  0  0  0  8  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+36x^4+96x^5+40x^6+352x^7+638x^8+3136x^9+7800x^10+3136x^11+596x^12+352x^13+88x^14+96x^15+9x^16+8x^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 0.0391 seconds.