The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  1  1
 0  2  0  0  2  2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2a+2  2 2a^2+2a+2  0 2a 2a^2+2a  0 2a+2 2a^2+2a 2a^2+2a+2 2a 2a 2a 2a^2+2a  2  2 2a+2  2 2a^2  2  2  2 2a^2+2a 2a
 0  0  2  0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2+2 2a 2a^2+2 2a^2 2a 2a^2+2a+2 2a 2a  2  0 2a^2+2a+2 2a^2 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a 2a+2  0 2a+2 2a^2+2  2  0 2a 2a^2 2a^2 2a^2
 0  0  0  2  2 2a^2+2a 2a^2+2a  2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2 2a+2  2  2  0 2a^2+2a 2a^2+2 2a 2a^2  0 2a+2 2a+2  0 2a+2 2a^2+2a 2a^2+2 2a^2+2a+2  2 2a 2a+2 2a 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+469x^216+56x^217+798x^224+1176x^225+763x^232+8232x^233+609x^240+19208x^241+567x^248+539x^256+273x^264+77x^272

The gray image is a code over GF(8) with n=272, k=5 and d=216.
This code was found by Heurico 1.16 in 0.312 seconds.