The generator matrix

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

generates a code of length 22 over F8[X]/(X^2) who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+1680x^142+168x^144+896x^147+5600x^150+182x^152+7168x^154+6272x^155+10640x^158+63x^160+42x^168+56x^176

The gray image is a linear code over GF(8) with n=176, k=5 and d=142.
This code was found by Heurico 1.16 in 2.94 seconds.