The generator matrix

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

generates a code of length 41 over GR(64,4) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+3024x^270+140x^272+280x^273+1344x^274+3304x^275+10864x^276+7392x^277+14840x^278+511x^280+3920x^281+8064x^282+11312x^283+23072x^284+9408x^285+23968x^286+3276x^288+13720x^289+19264x^290+21224x^291+37744x^292+15456x^293+29848x^294+70x^296+56x^304+35x^312+7x^320

The gray image is a code over GF(8) with n=328, k=6 and d=270.
This code was found by Heurico 1.16 in 9.3 seconds.