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

generates a code of length 24 over F8[X]/(X^2) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+189x^144+224x^147+224x^148+693x^152+1792x^154+4704x^155+2016x^156+770x^160+25088x^162+32928x^163+9632x^164+714x^168+87808x^170+76832x^171+16800x^172+861x^176+721x^184+147x^192

The gray image is a linear code over GF(8) with n=192, k=6 and d=144.
This code was found by Heurico 1.16 in 4.77 seconds.