The generator matrix

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

generates a code of length 34 over GR(64,4) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+896x^220+602x^224+1680x^225+3304x^226+14448x^227+9184x^228+1792x^231+7238x^232+10080x^233+11312x^234+29344x^235+16576x^236+12544x^239+24766x^240+24080x^241+21224x^242+49392x^243+23520x^244+70x^248+63x^256+28x^264

The gray image is a code over GF(8) with n=272, k=6 and d=220.
This code was found by Heurico 1.16 in 6.48 seconds.