The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X X 0 1 1 1 1 0 1 1 1 0 0 0 X 1 X 1 1 1 1 1 1 1 1 1 0 X X 1 X 1 1 X 0 1 X 0 1 0 X 0 1 X 1 X X 1 0 X X 1 1 X 1 1 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 1 X X 1 1 X 1 0 1 0 X+1 X 0 X 1 1 X X+1 1 X+1 1 1 X+1 1 0 X X X 0 1 0 X+1 1 1 X 1 0 X 1 1 0 0 1 0 X+1 0 1 1 1 X X 0 0 0 X+1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 1 1 0 X 0 0 X+1 X+1 1 1 X X+1 1 1 1 X 1 1 X+1 X X+1 X 0 1 0 X 0 1 1 1 X X+1 X+1 1 0 1 0 X+1 X+1 X X 0 1 X X 0 1 X X X 0 1 0 X 0 X X+1 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 1 1 0 1 X+1 X 1 X X 0 0 X 1 X 0 1 1 X+1 0 X+1 1 X X 1 X 1 1 1 X 0 0 0 1 1 1 0 X+1 X 1 X+1 1 0 X+1 X+1 1 1 X 0 X+1 0 X 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 X X X+1 X X+1 X+1 1 X X+1 X+1 1 X X 0 1 0 X 0 X X+1 X+1 X X+1 X+1 1 X X+1 X+1 X X+1 X+1 1 0 0 1 X X 1 0 0 X 1 1 X 1 0 1 X X X 1 0 1 0 X+1 X 1 1 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X+1 0 1 X+1 X+1 X 0 X+1 X X+1 1 X+1 X+1 1 1 X 0 X+1 0 X X+1 0 X+1 X 1 X X X+1 1 0 0 1 1 X X 1 1 0 X+1 1 0 1 X 0 X+1 X+1 X+1 0 X 0 1 0 1 0 0 0 X 1 X 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 X X 0 X X 0 0 X X X X 0 0 0 X X 0 0 0 0 X X X X X 0 X X X 0 X generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+61x^62+138x^63+198x^64+248x^65+315x^66+332x^67+405x^68+428x^69+426x^70+458x^71+458x^72+484x^73+459x^74+466x^75+454x^76+464x^77+393x^78+390x^79+361x^80+288x^81+237x^82+192x^83+179x^84+116x^85+69x^86+70x^87+54x^88+20x^89+21x^90+2x^91+2x^92+2x^94+1x^102 The gray image is a linear code over GF(2) with n=148, k=13 and d=62. This code was found by Heurico 1.16 in 11.4 seconds.