The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  2  1  1  1  1  2  1  1  2  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 2a  0  1
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  1  2 2a+3 a+2 a+3  1  2  1 a+2 a+3  1  2 2a+1  1 a+2 3a+3 2a+3 2a+1  0 a+3 2a+1 2a+2 a+3  2 3a  2 2a+2 3a+3  0 3a+1 3a+3 a+3  1  1 2a+1 a+1 2a 2a+2  a 2a+2 a+2 3a+3 2a+2 2a+3 a+1 a+2  1 2a+1  a  1 3a+2  1  1 a+1
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2  0 2a+2  0 2a+2  0  2  2 2a 2a  2 2a+2 2a  2 2a 2a+2 2a  0 2a+2 2a 2a  0  0  2 2a+2 2a+2 2a 2a+2  0  2 2a 2a+2  0 2a  2  0 2a+2  2  0  0  2  2  0 2a+2 2a+2  2  2  0 2a+2  2  0 2a+2  0 2a+2  2
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2  2  0  0  2  2  2  0  0  2  2  2 2a 2a  0 2a 2a 2a 2a+2  2 2a+2 2a+2  2 2a+2 2a+2  0 2a+2  2 2a+2  2  0 2a+2  0 2a+2 2a+2 2a 2a 2a 2a+2 2a 2a+2  0 2a 2a  0  0 2a  0  2 2a+2  2  0 2a+2  0 2a+2

generates a code of length 68 over GR(16,4) who´s minimum homogenous weight is 196.

Homogenous weight enumerator: w(x)=1x^0+504x^196+1611x^200+714x^204+411x^208+375x^212+435x^216+36x^220+3x^224+3x^228+3x^240

The gray image is a code over GF(4) with n=272, k=6 and d=196.
This code was found by Heurico 1.16 in 0.166 seconds.