The generator matrix

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

generates a code of length 42 over GR(64,4) who´s minimum homogenous weight is 277.

Homogenous weight enumerator: w(x)=1x^0+3416x^277+392x^280+1680x^281+3976x^282+7560x^283+7448x^284+18256x^285+3199x^288+10080x^289+13552x^290+16240x^291+9296x^292+28504x^293+11074x^296+24080x^297+25480x^298+26376x^299+15512x^300+35840x^301+84x^304+70x^312+28x^320

The gray image is a code over GF(8) with n=336, k=6 and d=277.
This code was found by Heurico 1.16 in 8.87 seconds.