The generator matrix

 1  0  1  1  1  1  1  1
 0  1 11 14  5  8  3  0
 0  0 12  4  0  4  8  0
 0  0  0  8  8  0  0  8

generates a code of length 8 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+24x^5+73x^6+456x^7+941x^8+456x^9+70x^10+24x^11+2x^12+1x^14

The gray image is a code over GF(2) with n=64, k=11 and d=20.
This code was found by Heurico 1.16 in 0.00219 seconds.