The generator matrix

 1  1  1  1  2  2  2  1
 0  2  0 14  6  6  6  0
 0  0 12  4  0  0  8  0
 0  0  0  8  0  8  8  0
 0  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+12x^4+90x^5+75x^6+296x^7+1101x^8+292x^9+82x^10+88x^11+6x^12+2x^13+3x^14

The gray image is a code over GF(2) with n=64, k=11 and d=16.
This code was found by Heurico 1.16 in 0.00225 seconds.