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

generates a code of length 56 over GR(64,4) who´s minimum homogenous weight is 360.

Homogenous weight enumerator: w(x)=1x^0+91x^360+728x^367+903x^368+448x^372+504x^373+1120x^374+4760x^375+5145x^376+4032x^380+2968x^381+3360x^382+12712x^383+10143x^384+19264x^388+10472x^389+11424x^390+32648x^391+24045x^392+33600x^396+14728x^397+12768x^398+35168x^399+20055x^400+378x^408+280x^416+182x^424+140x^432+63x^440+14x^448

The gray image is a code over GF(8) with n=448, k=6 and d=360.
This code was found by Heurico 1.16 in 13 seconds.