The generator matrix

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

generates a code of length 54 over GR(64,4) who´s minimum homogenous weight is 361.

Homogenous weight enumerator: w(x)=1x^0+3024x^361+7168x^362+224x^364+504x^365+4480x^367+6090x^368+15400x^369+25424x^370+3136x^372+3024x^373+8960x^375+7203x^376+25984x^377+35168x^378+10976x^380+7224x^381+15232x^383+12201x^384+30856x^385+39760x^386+56x^392+21x^408+28x^416

The gray image is a code over GF(8) with n=432, k=6 and d=361.
This code was found by Heurico 1.16 in 70.8 seconds.