The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^4+42x^5+242x^6+260x^7+469x^8+1742x^9+10736x^10+1752x^11+463x^12+262x^13+250x^14+36x^15+58x^16+2x^17+4x^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 0.0899 seconds.