The generator matrix

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

generates a code of length 20 over GR(64,4) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+784x^134+336x^135+14x^136+2352x^142+560x^143+49x^144

The gray image is a code over GF(8) with n=160, k=4 and d=134.
This code was found by Heurico 1.16 in 0.00174 seconds.