The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 1 1 0 X 0 1 1 X 1 0 1 0 1 1 1 X X 0 1 0 1 X 0 1 0 0 1 X 1 0 1 0 X 1 X 1 X 0 0 1 1 1 1 1 1 1 0 X 0 1 1 1 1 1 0 1 0 0 X X 1 0 1 0 0 0 0 0 0 0 0 0 1 1 X+1 1 1 1 1 X X X 1 1 1 0 1 1 1 X 0 0 X X+1 1 1 1 0 X+1 1 1 X+1 1 1 1 X 1 1 X+1 1 X+1 X 0 1 X+1 0 1 1 0 1 1 X X X X 0 1 X 1 1 0 1 1 1 0 0 0 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 1 1 X+1 X+1 1 1 X X+1 1 X+1 X X+1 X X 1 X X 1 1 X 1 1 1 X X+1 X X+1 X+1 X+1 X+1 X 1 1 X+1 X X+1 X 1 1 X X X 1 1 0 0 0 0 1 0 0 0 0 0 0 0 X 0 X 0 X 0 X 1 X+1 1 1 X+1 1 1 X+1 1 X+1 X 1 1 0 1 0 X 1 X 0 1 X+1 1 X 0 1 X 1 0 X+1 1 1 1 X X+1 0 1 X 0 X 0 X+1 1 X+1 1 0 0 0 X+1 X+1 0 X 1 0 X X+1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 X X+1 X 1 0 0 X 0 X 1 1 0 X 1 1 0 X 1 X+1 1 X+1 X 1 0 0 X+1 X 0 X+1 1 0 1 X 0 0 1 1 1 X X X+1 0 1 0 0 1 X+1 1 X X+1 1 1 0 1 X 1 1 0 1 X 0 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 0 X+1 X+1 X X 0 1 X+1 X+1 1 X X 0 0 1 X 1 X 0 X+1 1 X+1 1 X 0 X X X 1 X 1 X+1 X X+1 X+1 X+1 1 X+1 0 1 1 X 1 X X+1 0 X X 1 1 0 X X+1 X+1 X X 1 1 1 X+1 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X 0 1 1 1 1 1 0 X+1 1 X X 1 0 X+1 0 0 X+1 0 1 X+1 X+1 0 X 0 X X+1 0 X 1 X X+1 X 1 X+1 X X+1 X+1 0 1 X+1 X 0 X+1 1 0 X X+1 X X+1 X+1 1 X+1 X+1 X+1 0 X+1 0 X+1 1 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 X X 0 X X X 0 0 X 0 X 0 0 0 0 X X X X 0 X X X X 0 X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 X X X 0 X X X X X X 0 0 0 X 0 generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+118x^60+94x^61+307x^62+444x^63+563x^64+672x^65+879x^66+1026x^67+1155x^68+1262x^69+1459x^70+1746x^71+1679x^72+1890x^73+1950x^74+2040x^75+1999x^76+1958x^77+1773x^78+1832x^79+1574x^80+1356x^81+1212x^82+978x^83+816x^84+522x^85+491x^86+322x^87+243x^88+162x^89+101x^90+52x^91+37x^92+20x^93+16x^94+8x^95+4x^96+3x^100+2x^102+1x^106+1x^114 The gray image is a linear code over GF(2) with n=150, k=15 and d=60. This code was found by Heurico 1.11 in 66.1 seconds.