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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+210x^208+240x^209+408x^210+288x^211+489x^212+192x^213+300x^214+240x^215+258x^216+96x^217+192x^218+84x^219+165x^220+84x^221+96x^222+96x^223+147x^224+96x^225+84x^226+36x^227+75x^228+36x^229+12x^230+24x^231+48x^232+24x^233+60x^234+12x^236+3x^252

The gray image is a code over GF(4) with n=288, k=6 and d=208.
This code was found by Heurico 1.16 in 0.125 seconds.