The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 X 0 0 X X a*X a^2*X a^4*X a^5*X a^5*X X a^5*X 0 a*X a^4*X X 0 0 0 X 0 a^6*X a^5*X a*X a^6*X a^6*X a*X a^6*X a^2*X a*X a^5*X a*X a*X a^4*X X 0 0 0 X X a^4*X a^4*X X a^6*X a^4*X a^6*X a^6*X a^3*X X X 0 a^2*X a^6*X generates a code of length 18 over F8[X]/(X^2) who´s minimum homogenous weight is 104. Homogenous weight enumerator: w(x)=1x^0+224x^104+686x^112+3584x^119+784x^120+25088x^127+931x^128+1120x^136+350x^144 The gray image is a linear code over GF(8) with n=144, k=5 and d=104. This code was found by Heurico 1.16 in 0.134 seconds.