The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 X 1 1 X 1 X 1 X 1 1 0 X 0 X 0 0 0 1 1 1 1 X 1 1 0 X 1 1 1 X X 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X 0 X X+1 0 X X+1 X+1 1 X+1 1 X+1 1 1 0 1 X+1 0 0 X X 0 X+1 0 0 1 1 0 X X 1 1 0 X 1 1 0 X X+1 1 X+1 1 0 0 X X 1 0 1 0 X+1 0 X+1 0 X+1 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X 1 X X 1 1 1 X+1 0 1 0 1 0 X+1 0 1 X X X+1 1 1 1 1 X 0 0 X+1 X+1 X X+1 1 1 X+1 X+1 X+1 0 X+1 X+1 0 1 X+1 1 X 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 1 X+1 X 1 X+1 0 0 1 X+1 0 X X+1 X X 1 0 X 1 0 X 1 X+1 X+1 X+1 1 0 1 X 1 0 1 X+1 X+1 0 1 1 0 X 1 1 0 0 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 0 X+1 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 X+1 X+1 X+1 0 X+1 X+1 X+1 X 0 0 0 X+1 1 1 X+1 0 1 X X+1 1 X 0 X X 1 0 1 1 1 0 X+1 0 X+1 X+1 X X X 1 X 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 X+1 0 X 1 1 X 0 X+1 1 1 X 1 0 1 1 1 X+1 0 X 1 X X+1 0 0 0 X 1 1 1 0 X X+1 X+1 0 X+1 1 0 X X 0 0 X 1 1 0 X 0 X+1 1 X+1 1 X 0 X+1 1 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X X 0 0 X 0 0 0 X X X X 0 X X 0 X X 0 0 X 0 0 0 0 X X X X X 0 0 X X 0 X 0 X 0 0 0 0 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+154x^74+487x^76+706x^78+784x^80+804x^82+879x^84+764x^86+892x^88+764x^90+635x^92+560x^94+343x^96+230x^98+126x^100+50x^102+12x^104+1x^116 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 14.4 seconds.