The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+658x^168+224x^169+560x^170+1344x^175+5509x^176+2016x^177+2800x^178+18816x^183+33747x^184+9632x^185+10640x^186+65856x^191+77469x^192+16800x^193+14672x^194+728x^200+525x^208+147x^216

The gray image is a code over GF(8) with n=216, k=6 and d=168.
This code was found by Heurico 1.16 in 5.1 seconds.