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 a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6  a a^6*X+a^2  0 a^6*X+1 a^5  a  0  1 a^3 a^6*X+a^4 a^6*X+a^2 a^5*X+a^2  1 a^5 a^6*X+a^6 a^5*X+a^2 a^3*X+a^2 a^3 a^6*X+1 a^6*X+a^6 X+a  X
 0  0 a^6*X  0  X  X a^3*X  X a^2*X a^3*X a^6*X a^2*X a^2*X  0 a^2*X a^4*X a^6*X a^4*X a^4*X  0 a^3*X a^3*X a*X  X a^3*X a*X  X a^2*X a^5*X a^2*X a^6*X
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^4*X a*X a^2*X  0 a^3*X a^2*X a*X a^2*X a^4*X a*X  0 a^3*X a^3*X  X a^2*X  0 a^6*X a^3*X a^4*X a^4*X

generates a code of length 31 over F8[X]/(X^2) 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 linear code over GF(8) with n=248, k=6 and d=192.
This code was found by Heurico 1.16 in 6.5 seconds.