The generator matrix

 1  1  1  1  2  2  1  1  2  1
 0  2 12  6  6  6  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+32x^5+40x^6+160x^7+638x^8+832x^9+4728x^10+832x^11+596x^12+160x^13+88x^14+32x^15+9x^16+8x^18

The gray image is a code over GF(2) with n=80, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0212 seconds.