The generator matrix

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

generates a code of length 73 over GR(16,4) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+270x^204+84x^205+180x^207+957x^208+300x^209+396x^211+1680x^212+516x^213+564x^215+1686x^216+552x^217+600x^219+2055x^220+732x^221+828x^223+1839x^224+540x^225+444x^227+1176x^228+300x^229+60x^231+348x^232+48x^233+90x^236+51x^240+36x^244+21x^248+12x^252+6x^256+6x^260+3x^264+3x^268

The gray image is a code over GF(4) with n=292, k=7 and d=204.
This code was found by Heurico 1.16 in 1.67 seconds.