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

generates a code of length 31 over F8[X]/(X^2) who´s minimum homogenous weight is 205.

Homogenous weight enumerator: w(x)=1x^0+2016x^205+1680x^206+147x^208+6720x^213+3360x^214+294x^216+12768x^221+5712x^222+7x^224+21x^240+42x^248

The gray image is a linear code over GF(8) with n=248, k=5 and d=205.
This code was found by Heurico 1.16 in 0.0974 seconds.