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

generates a code of length 41 over GR(64,4) who´s minimum homogenous weight is 276.

Homogenous weight enumerator: w(x)=1x^0+2800x^276+3360x^277+231x^280+5600x^284+4032x^285+196x^288+9520x^292+6944x^293+49x^296+7x^304+28x^328

The gray image is a code over GF(8) with n=328, k=5 and d=276.
This code was found by Heurico 1.16 in 41.9 seconds.