The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X X X 1 1 1 1 1 X X X X X 1 X X X 1 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X 0 X X X X X X X X 0 0 0 X 0 X X X 0 X 0 X X 0 0 X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 X X 0 X 0 0 0 X 0 0 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 X X X 0 X X 0 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X X X 0 0 X X 0 0 0 X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 0 X 0 X 0 0 0 0 X X 0 0 X 0 0 X X X X 0 0 0 0 X X X 0 X 0 X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 X X X 0 X 0 0 X 0 0 X 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 0 X 0 X 0 0 X X 0 0 X 0 0 X X X X X X X X 0 0 0 0 0 X X 0 0 X 0 0 X 0 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X 0 X X 0 0 X X X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X 0 X X 0 X X 0 0 0 X X X X 0 0 X X X X X 0 0 0 0 X 0 0 0 X X X 0 0 0 X 0 X X X X 0 X X X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X X X 0 X X 0 0 X X 0 0 0 0 X X X X 0 0 0 0 0 X X X 0 0 0 0 X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X X 0 0 0 X X X 0 0 X X 0 X 0 0 X 0 0 X X 0 X X X X X 0 X 0 X X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 X X X 0 X X X X X 0 0 0 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 X X 0 X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+54x^62+140x^64+190x^66+233x^68+337x^70+484x^72+643x^74+910x^76+1110x^78+1091x^80+957x^82+686x^84+446x^86+313x^88+197x^90+166x^92+128x^94+47x^96+29x^98+21x^100+5x^102+3x^104+1x^128 The gray image is a linear code over GF(2) with n=158, k=13 and d=62. This code was found by Heurico 1.16 in 38.9 seconds.