The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 X 0 1 1 0 0 1 X 1 1 1 1 X 1 0 0 1 1 1 X 0 0 1 X 1 1 1 0 X 1 1 1 0 0 X 1 0 X 0 1 1 1 0 X X 1 1 X 1 1 X 1 1 1 1 X 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 0 1 1 1 X X 1 1 1 1 X+1 1 0 X X 1 X X X+1 X 1 1 X 1 1 X+1 X X+1 0 1 X X 0 1 X 1 1 1 1 0 X X+1 X+1 1 X X X X 1 1 0 1 0 1 0 X+1 X 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X 0 X+1 0 1 X+1 1 X+1 X X 0 X+1 1 0 1 1 X 1 1 X X X+1 X 1 X+1 X 0 X+1 X+1 1 1 X X 1 0 1 X+1 0 0 1 1 0 X+1 0 X+1 1 1 X+1 X+1 0 1 X+1 X+1 X+1 1 X 0 X 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X 0 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X X 0 0 0 X X X 0 X 0 0 X X X 0 0 X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 X 0 0 X X X 0 X 0 X 0 X 0 0 X 0 X 0 X X X 0 0 0 0 X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X X X X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 X X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X X X 0 X 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 X 0 X X X X X 0 0 X X 0 X X X X X 0 X X 0 X X 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X X X 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 X X X 0 X 0 0 0 0 0 X 0 X X X 0 0 X 0 X 0 X X 0 X X 0 X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 X X 0 0 0 0 X X X X X X 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 X X X 0 0 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X 0 0 X 0 X 0 0 X X X 0 0 X 0 0 X X X 0 0 0 X X X 0 0 X X 0 X 0 X X X X 0 0 X 0 0 0 0 X 0 X X 0 generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+133x^64+210x^66+692x^68+660x^70+1326x^72+1326x^74+1865x^76+1800x^78+2220x^80+1766x^82+1696x^84+996x^86+874x^88+338x^90+288x^92+64x^94+82x^96+8x^98+32x^100+4x^104+3x^108 The gray image is a linear code over GF(2) with n=158, k=14 and d=64. This code was found by Heurico 1.16 in 52.5 seconds.