The generator matrix

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

generates a code of length 27 over F8[X]/(X^2) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+245x^152+1400x^160+2583x^168+3584x^175+3934x^176+50176x^183+5789x^184+175616x^191+7847x^192+6741x^200+3458x^208+770x^216

The gray image is a linear code over GF(8) with n=216, k=6 and d=152.
This code was found by Heurico 1.16 in 13.9 seconds.