The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 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 a^6*X+a^6 0 a^6*X+1 a^6*X+a^2 a^5 a^6*X+a^2 a^6*X+1 a^6*X+a^4 a^3 0 a^6*X+a^6 a X 0 0 a^6*X 0 X X a^3*X X a^3*X 0 a^4*X a^5*X a^2*X a^3*X a*X a^2*X a^2*X a^4*X a^2*X X a^4*X a^6*X 0 0 0 X a^6*X a^5*X a^3*X a^2*X a^6*X a^2*X a^3*X a^2*X a^6*X a*X X a^2*X 0 a^6*X X a*X 0 X generates a code of length 22 over F8[X]/(X^2) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+70x^128+168x^133+224x^134+567x^136+1792x^140+3528x^141+2016x^142+777x^144+3584x^147+25088x^148+24696x^149+9632x^150+714x^152+25088x^155+87808x^156+57624x^157+16800x^158+1029x^160+679x^168+259x^176 The gray image is a linear code over GF(8) with n=176, k=6 and d=128. This code was found by Heurico 1.16 in 4.12 seconds.