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

generates a code of length 27 over GR(64,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+371x^176+2016x^177+560x^178+2317x^184+6720x^185+1120x^186+4914x^192+12768x^193+1904x^194+7x^200+14x^208+56x^216

The gray image is a code over GF(8) with n=216, k=5 and d=176.
This code was found by Heurico 1.16 in 0.0869 seconds.