The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 X 1 1 0 X 0 1 1 X 1 1 0 1 1 0 1 0 1 0 X 0 1 1 1 X X 1 1 1 1 1 X X 0 1 0 0 1 1 0 0 1 X 1 X 1 0 X 0 X X 1 1 1 0 1 X X X 1 1 0 1 0 1 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 1 1 1 1 1 1 X+1 1 1 1 X+1 1 1 1 1 X+1 1 1 1 1 1 1 1 X+1 X 1 X 1 1 X 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X X+1 1 X+1 1 X 0 X+1 1 X+1 1 X X 1 1 1 0 X+1 1 0 X+1 X X X X+1 0 X 0 0 0 X+1 1 0 X+1 X+1 X X+1 0 X+1 X 1 X X+1 0 X X+1 0 X+1 1 1 X 1 1 X+1 1 X+1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 X X+1 1 X+1 X 0 X+1 0 X+1 0 X+1 X 1 X+1 1 0 X+1 1 X+1 X X X X+1 0 X 1 X X+1 X+1 1 X 0 0 0 X X 1 0 X+1 X+1 0 X 1 0 X X+1 X+1 0 X 1 X+1 X 0 X X 0 X 1 X+1 0 0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 1 X+1 1 0 X+1 0 1 X X+1 X+1 X+1 0 X X+1 1 X+1 X X+1 1 X+1 X 1 1 0 1 X+1 1 X X+1 X+1 X+1 X 0 1 1 0 1 X+1 X+1 X 0 X X+1 X+1 1 X+1 X 0 X X 1 1 X 0 1 X X X+1 0 0 0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X X+1 X 1 1 1 1 0 X 1 1 0 X+1 0 X+1 X+1 X+1 X+1 X+1 0 0 1 X+1 X X X+1 0 X X X+1 X+1 1 X 1 X X+1 1 X X 0 1 X+1 X 1 0 0 1 X 0 X+1 1 0 0 1 1 X 0 0 0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 0 1 X 1 X 1 1 1 X+1 X X X 0 X+1 X X+1 X+1 X X X+1 0 1 X 0 0 1 X+1 1 0 1 0 X X+1 X 1 0 0 X+1 X+1 1 0 1 X 0 1 1 X+1 1 0 1 0 X X+1 X+1 X 1 0 0 X 0 0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 X 1 0 1 X+1 0 0 X+1 X+1 X X X 1 0 1 X 0 1 X 0 0 X+1 1 0 1 1 X+1 X+1 X+1 X 1 X+1 X X+1 0 X+1 X X+1 X X X X+1 1 1 X+1 1 X X X+1 X 1 1 1 X+1 X X 1 0 1 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+76x^59+223x^60+414x^61+521x^62+754x^63+1059x^64+1220x^65+1513x^66+1884x^67+2344x^68+2624x^69+2925x^70+3316x^71+3440x^72+3890x^73+4202x^74+4152x^75+4141x^76+4070x^77+3828x^78+3388x^79+3212x^80+2894x^81+2323x^82+1832x^83+1451x^84+1160x^85+833x^86+588x^87+440x^88+318x^89+188x^90+116x^91+64x^92+32x^93+37x^94+18x^95+8x^96+14x^97+14x^98+4x^99+1x^100+4x^101 The gray image is a linear code over GF(2) with n=150, k=16 and d=59. This code was found by Heurico 1.11 in 255 seconds.