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

generates a code of length 59 over GR(64,4) who´s minimum homogenous weight is 397.

Homogenous weight enumerator: w(x)=1x^0+8624x^397+7672x^398+133x^400+3696x^401+2408x^403+31024x^405+16576x^406+259x^408+12320x^409+3248x^411+48272x^413+28504x^414+23408x^417+5096x^419+48272x^421+22512x^422+21x^424+77x^440+14x^464+7x^472

The gray image is a code over GF(8) with n=472, k=6 and d=397.
This code was found by Heurico 1.16 in 54.6 seconds.