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

generates a code of length 43 over GR(64,4) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+98x^272+56x^274+56x^276+553x^280+448x^281+2016x^282+1120x^283+1680x^284+448x^287+798x^288+4032x^289+11536x^290+3360x^291+4032x^292+6272x^295+749x^296+19264x^297+42336x^298+11424x^299+11760x^300+21952x^303+574x^304+33600x^305+58744x^306+12768x^307+11144x^308+448x^312+385x^320+301x^328+168x^336+21x^344

The gray image is a code over GF(8) with n=344, k=6 and d=272.
This code was found by Heurico 1.16 in 9.69 seconds.