The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 1 1 1 1 0 X X 1 1 1 1 X X X 1 X 1 1 1 1 0 X X 1 1 X 1 0 1 1 0 1 X 0 1 1 1 1 X X 1 X 1 X 1 X 1 0 1 1 1 X 1 1 X X X 1 1 0 1 1 0 1 X 1 1 1 X X 1 X 0 1 0 1 0 1 1 0 0 1 1 1 1 X+1 0 X X 1 X+1 1 X 1 0 1 X X+1 X 1 1 X+1 1 X X X X+1 1 X X X+1 0 1 X 1 X+1 X 1 X+1 1 1 X+1 0 X X 1 X X+1 1 1 1 X 0 1 0 0 X X+1 1 X X 1 0 1 0 1 1 X+1 X+1 1 0 0 X 1 1 0 1 0 X 0 0 1 1 1 0 1 0 1 1 0 X X+1 0 1 X 1 X+1 1 0 1 X+1 0 1 X+1 X 1 1 X 0 1 X+1 1 X X X 1 1 1 X 1 1 0 1 0 X 0 1 1 X+1 X X+1 X+1 X 1 X X 1 0 X 1 X 1 1 X 1 X X+1 X+1 X+1 1 X+1 X+1 X X+1 X+1 1 1 0 1 X+1 X 0 1 1 1 X 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 X X X 0 0 0 0 0 X X X 0 X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X 0 0 0 X X 0 0 0 0 X 0 X 0 X 0 0 0 X 0 X X 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 X X 0 0 0 X X X X X 0 0 X X X 0 X 0 X X 0 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 X X X X X 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X X X X X 0 0 X 0 X 0 X X X X 0 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 0 X X X X 0 0 0 0 0 X X X X 0 X 0 X X X 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X X 0 0 X X X X X X 0 X 0 0 X X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 X X X X X X X X X X 0 0 0 X 0 X 0 X 0 X X X 0 0 0 X X X 0 0 X 0 X 0 X X X 0 0 X X X X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X X 0 0 X X 0 X 0 0 0 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 0 0 0 0 0 X X X 0 0 X X X X X 0 0 X X 0 0 0 X X X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 0 X 0 X X X 0 X 0 0 X 0 X X X X X 0 X X X 0 0 X X X X X 0 X X 0 X 0 X 0 0 0 0 X X 0 0 X 0 X X 0 0 0 X 0 X 0 X X 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 0 X X 0 X X X 0 0 0 0 0 X X 0 X X 0 0 X X X X X 0 0 X X 0 X X X X 0 X X X X 0 X X 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+169x^72+254x^74+728x^76+782x^78+1313x^80+1296x^82+1909x^84+1572x^86+2076x^88+1702x^90+1642x^92+1062x^94+895x^96+420x^98+321x^100+72x^102+111x^104+8x^106+37x^108+11x^112+2x^116+1x^124 The gray image is a linear code over GF(2) with n=174, k=14 and d=72. This code was found by Heurico 1.16 in 60.2 seconds.