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

generates a code of length 27 over F8[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+658x^168+224x^169+560x^170+1344x^175+5509x^176+2016x^177+2800x^178+18816x^183+33747x^184+9632x^185+10640x^186+65856x^191+77469x^192+16800x^193+14672x^194+728x^200+525x^208+147x^216

The gray image is a linear code over GF(8) with n=216, k=6 and d=168.
This code was found by Heurico 1.16 in 5.1 seconds.