The generator matrix

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

generates a code of length 34 over GR(64,4) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+504x^216+56x^217+448x^218+2688x^219+1120x^220+721x^224+1176x^225+4032x^226+14336x^227+3360x^228+819x^232+8232x^233+19264x^234+52864x^235+11424x^236+567x^240+19208x^241+33600x^242+73472x^243+12768x^244+602x^248+546x^256+259x^264+77x^272

The gray image is a code over GF(8) with n=272, k=6 and d=216.
This code was found by Heurico 1.16 in 6.86 seconds.