The generator matrix

 1  0  1  1  1  4 12  1
 0  1  1  0  3  1  2  7
 0  0  2  0  2  0  4  4
 0  0  0  2  2  2  6  6
 0  0  0  0  4  8  4  8

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

Homogenous weight enumerator: w(x)=1x^0+159x^4+520x^5+3762x^6+14432x^7+27935x^8+14128x^9+3884x^10+608x^11+97x^12+8x^13+2x^14

The gray image is a code over GF(2) with n=64, k=16 and d=16.
This code was found by Heurico 1.16 in 0.656 seconds.