The generator matrix

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

generates a code of length 45 over GR(64,4) who´s minimum homogenous weight is 298.

Homogenous weight enumerator: w(x)=1x^0+4704x^298+1848x^302+15799x^304+24696x^306+448x^308+11088x^310+31584x^312+39984x^314+3136x^316+26488x^318+53396x^320+48888x^322+77x^336+7x^352

The gray image is a code over GF(8) with n=360, k=6 and d=298.
This code was found by Heurico 1.16 in 50.9 seconds.