The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 1 1 0 0 1 1 X X 1 1 0 1 X 1 1 0 1 0 X 1 1 1 0 1 X 1 1 X X 1 1 1 0 1 X 0 1 1 0 1 1 0 0 X 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 0 X+1 1 0 X+1 1 1 1 X+1 X 0 0 1 0 0 X X+1 1 1 1 X 1 1 X+1 1 0 X+1 1 1 0 0 X 1 X 1 1 X+1 X+1 X X X 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X X+1 1 X+1 X+1 X+1 X X X 1 0 X+1 0 X+1 1 X+1 X+1 X X 1 0 X 1 X X+1 X 0 X X+1 X 0 X+1 1 1 1 X X+1 1 X+1 X 1 X 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X 0 0 X 0 X X 0 0 X X X X X 0 0 0 0 0 X X X X X X X 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X X 0 X X X 0 X 0 0 X 0 0 0 X X X X X 0 0 X 0 0 X X 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 X X X X 0 X X 0 X X 0 X X X X X X 0 X 0 X X 0 X X X X X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 X X X X 0 X X 0 X X X 0 0 0 X X X 0 X X 0 X 0 0 X X 0 0 0 X 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 X X X X X X X X 0 0 0 X X X X X 0 0 X 0 0 0 X X 0 X X 0 X X 0 X X X 0 X 0 0 0 0 0 X X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X 0 X X 0 0 0 X X 0 X X X X 0 0 X 0 0 0 0 0 X X 0 0 X 0 X 0 X X X 0 0 0 0 X X generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+58x^54+220x^56+428x^58+619x^60+774x^62+918x^64+1097x^66+1079x^68+943x^70+838x^72+571x^74+318x^76+169x^78+83x^80+47x^82+15x^84+7x^86+4x^88+1x^90+1x^92+1x^94 The gray image is a linear code over GF(2) with n=134, k=13 and d=54. This code was found by Heurico 1.16 in 10.7 seconds.