The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 1 1 0 1 X 1 1 1 0 1 X X X 1 0 1 1 1 0 X 0 1 1 X 1 1 1 1 1 X 0 1 1 0 1 1 1 0 X 1 1 1 1 X X 1 1 0 1 1 1 1 1 0 0 X 0 X 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 1 X 0 1 1 X X+1 0 X+1 1 X X 1 0 X 1 X X+1 1 1 X 1 1 X 0 0 X+1 1 X+1 0 1 X X+1 X+1 1 0 1 X 0 0 0 X 1 1 1 1 X+1 0 1 X X+1 0 0 X+1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 1 X X+1 0 X+1 1 X+1 X+1 0 X 0 1 1 X 1 X+1 X+1 X+1 X X X X 0 X+1 1 0 0 X X X 1 0 0 X 0 1 X 0 1 0 X 0 0 1 X X 1 X X X+1 0 1 0 X+1 X 1 1 0 X 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 1 0 X+1 X+1 1 0 1 X 1 X X+1 X+1 0 1 X+1 0 X 1 X X+1 0 0 0 0 X 0 X+1 0 X X+1 0 1 1 0 X 1 X 1 X+1 1 0 X+1 1 0 X X 1 X 1 X+1 X 1 0 X+1 0 X+1 1 X+1 X+1 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 0 X+1 X+1 0 X 1 X 1 1 1 X 0 0 X+1 X X X 1 X+1 1 1 1 1 1 0 X+1 1 X+1 X 1 X 1 0 0 1 0 1 1 0 X 1 0 1 X X X 1 X X X+1 X+1 X X 0 X+1 1 X+1 X X+1 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X 0 X 0 X X X X 0 X X 0 X 0 X X 0 X X X 0 0 0 0 X X X X 0 X 0 X 0 0 X X X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 0 0 X X X 0 X X X 0 X X X X 0 0 0 0 0 0 X X 0 X X X 0 0 X 0 X X X 0 0 X 0 X X 0 0 X X 0 X X X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X X X X X 0 0 X X 0 X X X 0 X 0 X 0 0 X X 0 X X X X 0 X X X generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+201x^74+450x^76+628x^78+806x^80+856x^82+820x^84+869x^86+862x^88+763x^90+675x^92+498x^94+334x^96+238x^98+118x^100+37x^102+28x^104+6x^106+1x^108+1x^112 The gray image is a linear code over GF(2) with n=172, k=13 and d=74. This code was found by Heurico 1.16 in 14.6 seconds.