The generator matrix

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

generates a code of length 23 over F8[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+392x^147+4704x^148+9072x^149+189x^152+448x^154+5488x^155+28224x^156+30240x^157+196x^160+35840x^161+3136x^162+19208x^163+67424x^164+57456x^165+49x^168+7x^176+70x^184

The gray image is a linear code over GF(8) with n=184, k=6 and d=147.
This code was found by Heurico 1.16 in 3.3 seconds.