The generator matrix

 1  0  0  1  8  2  1  6 12  1
 0  1  0  4  1  2 10  1  1  8
 0  0  1  7 14  1 10  6  2 11

generates a code of length 10 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+456x^8+592x^9+2032x^10+544x^11+452x^12+16x^13+3x^16

The gray image is a code over GF(2) with n=80, k=12 and d=32.
This code was found by Heurico 1.16 in 237 seconds.