The generator matrix

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

generates a code of length 26 over F8[X]/(X^2) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+273x^144+1260x^152+2520x^160+7133x^168+55671x^176+182910x^184+7413x^192+3913x^200+1050x^208

The gray image is a linear code over GF(8) with n=208, k=6 and d=144.
This code was found by Heurico 1.16 in 13.1 seconds.