The generator matrix 1 0 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^6*X+a^6 0 a^6*X+1 a a^6*X+a^2 a^6*X+a^4 X a^6*X+a^6 a^3 X 0 0 a^6*X a*X X 0 a^3*X a^5*X a^4*X a^2*X a*X a^4*X a^3*X X a^6*X a^6*X a^5*X a^5*X generates a code of length 18 over F8[X]/(X^2) who´s minimum homogenous weight is 112. Homogenous weight enumerator: w(x)=1x^0+385x^112+336x^114+896x^119+4928x^120+1120x^122+6272x^127+16569x^128+2128x^130+56x^136+77x^144 The gray image is a linear code over GF(8) with n=144, k=5 and d=112. This code was found by Heurico 1.16 in 0.0545 seconds.