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

generates a code of length 25 over F8[X]/(X^2) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+217x^136+1029x^144+2163x^152+3528x^160+3584x^161+5292x^168+50176x^169+7329x^176+175616x^177+7735x^184+4193x^192+1281x^200

The gray image is a linear code over GF(8) with n=200, k=6 and d=136.
This code was found by Heurico 1.16 in 12.3 seconds.