The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^196+372x^197+360x^198+519x^200+480x^201+348x^202+285x^204+288x^205+204x^206+162x^208+144x^209+72x^210+144x^212+132x^213+96x^214+75x^216+48x^217+60x^218+48x^220+72x^221+12x^222+3x^224+3x^236

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 0.109 seconds.