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 X 0 1 1 1 0 0 1 0 0 1 1 X 0 1 X 1 X 1 X 1 X 1 X 0 0 1 0 1 X 0 1 1 X X X 0 1 1 1 0 0 X X 1 0 1 0 X X 1 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 X+1 X 1 0 1 1 0 X+1 1 1 X 0 0 0 X+1 X 1 X+1 1 0 0 X 1 X+1 1 1 1 1 X 0 1 X 1 X 0 X+1 X 1 1 0 0 1 X 1 1 0 1 X X X+1 1 1 1 X 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 X+1 X X 1 X+1 1 X+1 0 X X 1 1 X 1 X 0 0 X+1 0 1 X+1 0 1 1 X+1 1 1 1 X 0 X+1 0 X 1 X+1 1 0 X 1 0 X 0 0 0 0 X+1 X+1 1 X+1 X+1 1 0 X+1 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 1 X X 1 X X X 1 X 1 X+1 X 1 0 0 1 0 X 1 X 1 X 1 0 X 0 X+1 X+1 1 0 X 0 X 0 1 X X 1 X X X X+1 X 1 X X X+1 0 X 1 0 X+1 0 1 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 X X 0 1 X+1 X+1 1 X+1 1 X X+1 1 1 X X X X 0 1 X+1 0 1 X 1 1 X+1 X+1 X X X X X 1 1 X+1 X 0 X 0 0 X+1 0 X X+1 0 X+1 1 X X 0 0 0 1 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 X 1 X+1 0 X 1 0 X 1 X 1 1 X X+1 0 1 1 0 1 X X+1 0 X+1 1 X+1 0 0 0 0 1 1 0 X X X+1 X 1 X X X+1 0 X X+1 X 1 1 X+1 0 X 1 X+1 0 X X+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 X X 0 X X 0 0 0 X X 0 X X 0 X X X 0 X X X 0 0 0 X X X 0 0 X 0 X X X X 0 0 X 0 X 0 X 0 0 0 X X 0 0 0 X X 0 X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+62x^67+157x^68+234x^69+274x^70+342x^71+347x^72+390x^73+454x^74+396x^75+430x^76+404x^77+399x^78+428x^79+497x^80+444x^81+419x^82+478x^83+340x^84+350x^85+345x^86+254x^87+202x^88+178x^89+119x^90+72x^91+51x^92+36x^93+33x^94+16x^95+21x^96+12x^97+4x^98+2x^100+1x^110 The gray image is a linear code over GF(2) with n=158, k=13 and d=67. This code was found by Heurico 1.16 in 12.5 seconds.