The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 X 1 1 0 X 1 1 X 1 X 1 1 1 1 0 0 X X 1 1 1 1 X 0 0 1 X 1 1 0 1 1 0 1 1 1 1 0 1 0 X 1 1 1 1 0 0 X 0 0 1 X 1 X 1 0 1 1 X 1 X 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 X X X X X X X X X X X X 1 1 1 X+1 1 X+1 X+1 1 1 1 X+1 1 1 X+1 1 X+1 1 1 1 1 1 1 1 X 1 1 1 1 X+1 0 X X 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 X 1 1 0 X X 1 1 1 1 X 1 1 X 1 0 1 X 0 0 0 1 X X X+1 0 X 1 X+1 1 X+1 0 X+1 X 1 1 X+1 X+1 0 1 1 X X+1 0 0 X X+1 1 1 X+1 X 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 X X+1 X 1 X+1 0 X+1 X X+1 X X X+1 1 X X+1 0 X+1 X+1 1 1 0 X X 1 1 0 1 X 1 1 1 0 X+1 1 1 1 X+1 X 1 0 0 1 X X 1 0 1 1 1 0 X+1 X+1 X+1 X+1 1 0 0 0 0 0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 1 X 1 X+1 X+1 0 1 1 1 X X 0 X+1 0 X+1 0 1 X+1 X 0 1 0 1 X+1 1 1 1 1 1 X+1 X X+1 X X+1 X 0 1 0 X+1 1 X X 1 1 X+1 1 X+1 X+1 X X+1 1 X+1 0 0 X 1 1 0 0 0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X+1 0 1 X+1 X X 1 X+1 X 1 X+1 X X X X 1 X X+1 X+1 X+1 0 X+1 0 1 X 0 X X+1 X X+1 X+1 0 0 X X+1 X+1 1 0 0 0 X X+1 0 X+1 0 X X X 1 X+1 X 0 X+1 X 0 X 0 0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 0 1 0 1 0 1 0 X X+1 1 X X 0 X+1 1 0 X X+1 0 0 0 0 1 X 1 X+1 X X+1 X+1 0 X X+1 X+1 1 0 0 X 0 0 X X+1 0 1 1 X X X+1 X+1 1 0 1 X+1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 X 1 1 0 X X+1 X 0 X+1 X 1 0 1 0 1 X X+1 0 X X 1 X X+1 1 0 X+1 0 X 1 0 0 X+1 X 0 X X+1 X 0 X+1 0 X+1 0 X X X 1 X+1 X+1 0 0 X 0 1 X+1 X 0 X+1 X generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+88x^58+182x^59+369x^60+516x^61+828x^62+956x^63+1288x^64+1534x^65+1842x^66+2218x^67+2566x^68+2976x^69+3238x^70+3694x^71+3950x^72+4236x^73+4057x^74+4224x^75+4124x^76+3880x^77+3616x^78+3130x^79+2652x^80+2168x^81+1860x^82+1508x^83+1162x^84+850x^85+576x^86+410x^87+342x^88+204x^89+129x^90+58x^91+47x^92+16x^93+20x^94+2x^95+7x^96+2x^97+2x^99+4x^100+2x^101+2x^102 The gray image is a linear code over GF(2) with n=148, k=16 and d=58. This code was found by Heurico 1.11 in 264 seconds.