The generator matrix

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

generates a code of length 42 over GR(64,4) who´s minimum homogenous weight is 282.

Homogenous weight enumerator: w(x)=1x^0+2016x^282+2520x^284+273x^288+6720x^290+3024x^292+168x^296+12768x^298+5208x^300+42x^304+28x^336

The gray image is a code over GF(8) with n=336, k=5 and d=282.
This code was found by Heurico 1.16 in 16.4 seconds.