The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 1 1 1 1 1 1 X X 0 1 1 1 X 1 1 0 1 1 1 X 1 1 X X 0 1 X 1 X 1 X 0 1 1 0 X 0 1 1 X X 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X X+1 X X+1 X+1 0 X 1 X 1 1 1 X+1 1 1 X+1 1 1 X 1 1 0 0 0 1 X 0 0 X+1 1 X 1 1 0 X 1 1 1 1 X 0 0 0 X+1 1 X+1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X 0 X+1 X 1 X X 0 X+1 1 1 0 0 X X+1 0 1 0 0 X+1 X X+1 1 X+1 1 X+1 1 X X X+1 0 X+1 1 X+1 X+1 X 0 X+1 X 0 0 X 0 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X X+1 X 0 X X 1 1 X+1 1 X+1 X 0 1 X+1 1 0 X X 0 X+1 1 X 0 X X+1 1 X 1 0 X+1 X+1 0 X 0 X X 0 0 1 1 0 1 X+1 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X X X 0 X 0 0 X 0 0 X X X X 0 0 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X X X 0 0 X X X X 0 0 0 0 0 X X X 0 0 0 X X X X X X 0 0 0 0 0 0 X X X 0 0 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 X 0 X X X X 0 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 X 0 0 X 0 0 X 0 0 X X X X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 0 0 X X 0 0 0 0 0 X 0 X X 0 X X X X 0 0 0 0 X X 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X X 0 X X 0 X 0 X 0 0 X X X 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X X 0 X X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+71x^64+72x^65+171x^66+174x^67+298x^68+286x^69+318x^70+404x^71+349x^72+446x^73+442x^74+440x^75+405x^76+494x^77+468x^78+468x^79+439x^80+404x^81+336x^82+342x^83+278x^84+282x^85+224x^86+196x^87+153x^88+54x^89+70x^90+20x^91+41x^92+10x^93+12x^94+4x^95+10x^96+5x^98+2x^100+2x^102+1x^112 The gray image is a linear code over GF(2) with n=154, k=13 and d=64. This code was found by Heurico 1.16 in 12.6 seconds.