The generator matrix

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

generates a code of length 8 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+10x^4+92x^5+208x^6+676x^7+2122x^8+676x^9+208x^10+92x^11+10x^12+1x^16

The gray image is a code over GF(2) with n=64, k=12 and d=16.
This code was found by Heurico 1.16 in 0.00318 seconds.