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

generates a code of length 44 over GR(64,4) who´s minimum homogenous weight is 280.

Homogenous weight enumerator: w(x)=1x^0+217x^280+56x^283+56x^287+1281x^288+3248x^290+1568x^291+1176x^295+9170x^296+10416x^298+4368x^299+8232x^303+39060x^304+33936x^306+11424x^307+19208x^311+67767x^312+38416x^314+11256x^315+441x^320+392x^328+308x^336+126x^344+21x^352

The gray image is a code over GF(8) with n=352, k=6 and d=280.
This code was found by Heurico 1.16 in 9.89 seconds.