The generator matrix

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

generates a code of length 31 over GR(64,4) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+175x^192+280x^196+448x^197+1064x^199+777x^200+448x^203+5880x^204+4032x^205+3528x^207+700x^208+6272x^211+41160x^212+19264x^213+11256x^215+721x^216+21952x^219+96040x^220+33600x^221+12824x^223+700x^224+539x^232+392x^240+91x^248

The gray image is a code over GF(8) with n=248, k=6 and d=192.
This code was found by Heurico 1.16 in 6.55 seconds.