The generator matrix

 1  0  1  1  1  1 12  2  1  1
 0  1  1  0  3  0  1  0 15  0
 0  0  2  0  2  2  0  2  4  0
 0  0  0  2  2  2  2 14 10  8
 0  0  0  0  4  8 12 12  8  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+48x^5+248x^6+902x^7+4327x^8+14392x^9+25661x^10+14452x^11+4338x^12+872x^13+234x^14+54x^15+6x^16+1x^18

The gray image is a code over GF(2) with n=80, k=16 and d=20.
This code was found by Heurico 1.16 in 1 seconds.