The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  2  0  2  2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2  0  0  2  2  0  0  2  2 2a+2 2a+2  0  2 2a 2a+2  0  2 2a 2a+2  0  2 2a 2a+2  0  2 2a+2 2a 2a 2a  0  2 2a+2 2a 2a 2a  0  2 2a+2 2a 2a 2a  0  2 2a+2  0  2 2a+2 2a 2a 2a 2a  0  0  0
 0  0  2  0 2a+2  2 2a+2  0 2a+2 2a+2  2  2 2a+2  2  0  2 2a+2  0  0  2 2a+2  0 2a+2  2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a+2  2  0  0  2 2a+2 2a+2  2  0  0  2 2a+2 2a+2  2  0  0  2 2a+2 2a 2a  0 2a+2  2 2a  0  2 2a 2a+2  0  0  0
 0  0  0  2  2  2 2a 2a+2  0  2  0  2 2a 2a 2a 2a+2  0 2a 2a+2 2a 2a+2  2 2a+2 2a+2  0 2a+2  0 2a+2  2  2 2a+2 2a 2a 2a  2  0 2a+2  0  2 2a 2a 2a 2a 2a+2 2a+2  0  2 2a+2  2  2 2a  2 2a+2  0 2a+2  0  0  0 2a  2 2a+2  0 2a  2  0  0  0

generates a code of length 67 over GR(16,4) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+63x^192+768x^201+189x^204+3x^268

The gray image is a code over GF(4) with n=268, k=5 and d=192.
This code was found by Heurico 1.16 in 0.046 seconds.