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

generates a code of length 38 over GR(64,4) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+203x^240+672x^246+1064x^247+2828x^248+896x^252+6048x^254+5768x^255+7847x^256+12544x^260+28896x^262+21112x^263+23177x^264+43904x^268+50400x^270+29400x^271+26243x^272+462x^280+434x^288+189x^296+56x^304

The gray image is a code over GF(8) with n=304, k=6 and d=240.
This code was found by Heurico 1.16 in 8.31 seconds.