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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 209.

Homogenous weight enumerator: w(x)=1x^0+492x^209+576x^210+240x^211+9x^212+456x^213+456x^214+180x^215+27x^216+252x^217+348x^218+60x^219+21x^220+240x^221+120x^222+24x^223+156x^225+108x^226+36x^227+72x^229+72x^230+12x^231+60x^233+48x^234+24x^235+3x^236+3x^252

The gray image is a code over GF(4) with n=288, k=6 and d=209.
This code was found by Heurico 1.16 in 28.4 seconds.