The generator matrix

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

generates a code of length 27 over GR(64,4) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+504x^168+707x^176+3584x^182+763x^184+25088x^190+721x^192+742x^200+539x^208+119x^216

The gray image is a code over GF(8) with n=216, k=5 and d=168.
This code was found by Heurico 1.16 in 0.23 seconds.