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 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 X 0 X X 1 0 0 1 X 1 X X 0 1 1 X 1 X X 1 0 1 1 1 0 X X 1 1 1 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 1 1 X 1 1 X X 0 X+1 0 X X+1 X+1 1 X+1 1 X+1 1 X X 1 X X 1 1 X 1 1 X 0 1 X 0 X 1 1 0 0 X 0 1 0 0 1 1 X X X+1 X 1 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+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X X X X 1 0 1 X X 0 1 1 0 X+1 1 X+1 0 1 X+1 1 1 X 1 X+1 0 1 X+1 0 0 X 1 1 0 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 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 X 1 0 X+1 0 X 1 0 0 X X+1 1 1 X+1 X+1 X 0 1 1 X+1 X X 1 1 0 0 0 0 0 0 1 X+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+1 X 1 X+1 1 0 X+1 0 X+1 X+1 X X 1 1 0 0 1 X 1 1 X+1 1 0 1 X+1 1 1 0 1 1 X+1 1 1 0 X X X X+1 1 X+1 0 1 0 0 0 X+1 X+1 0 1 X 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 1 0 1 X X+1 0 0 X+1 X 1 1 X 0 X+1 1 1 X 1 X+1 0 X 1 X+1 X+1 0 X X X+1 1 X X 0 1 1 X X 1 0 1 1 X 1 X+1 X+1 0 0 X+1 0 X+1 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 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X 0 X 0 0 X X 0 0 0 X X X X X X X X 0 X X X 0 X X 0 0 0 0 0 X 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+264x^64+540x^66+750x^68+818x^70+919x^72+884x^74+884x^76+888x^78+792x^80+610x^82+391x^84+260x^86+139x^88+30x^90+14x^92+2x^94+5x^96+1x^100 The gray image is a linear code over GF(2) with n=150, k=13 and d=64. This code was found by Heurico 1.16 in 34.2 seconds.