The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 0 0 1 1 X 0 1 1 1 1 X 0 1 0 1 1 X X 1 X 1 X X 0 0 X 1 1 0 1 0 X 1 1 0 1 1 1 X 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 1 1 1 1 1 0 1 X X 1 1 1 1 1 0 0 X 1 0 1 1 X 1 X 1 1 1 0 1 1 1 X 1 0 X+1 1 1 0 0 1 0 X X 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 0 X 0 X 1 1 1 1 X+1 1 1 X+1 1 1 1 X+1 X+1 1 1 X+1 1 1 1 X+1 X+1 X X X+1 1 X+1 1 0 X X 1 X+1 0 1 X+1 1 X 1 1 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 0 1 1 0 0 X+1 0 X+1 X+1 1 1 0 0 0 1 0 1 0 0 X X 0 1 X+1 X+1 0 1 1 1 X X+1 1 X 1 1 X+1 X X+1 1 X+1 0 0 X 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 X+1 1 1 X 0 X+1 X X+1 X 1 0 X+1 0 X X X+1 0 0 X 1 1 0 X+1 1 X X+1 X+1 X+1 0 X+1 X+1 0 X 1 1 X X+1 1 1 X X+1 1 1 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 1 0 X X+1 X+1 0 0 X 1 X 1 X X+1 X 0 X+1 1 X+1 1 X+1 0 X X+1 X+1 1 1 1 X 0 0 X X+1 0 X+1 0 X+1 X X+1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 X+1 0 X+1 0 X+1 0 X 1 X 0 1 X 0 X X 0 X+1 1 0 0 X+1 X+1 X+1 X+1 X 0 0 1 X 0 X+1 X+1 X X 0 1 0 X+1 0 0 1 0 0 generates a code of length 74 over Z2[X]/(X^2) who�s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+84x^61+206x^62+264x^63+430x^64+498x^65+541x^66+640x^67+685x^68+784x^69+817x^70+884x^71+878x^72+942x^73+1005x^74+988x^75+979x^76+908x^77+832x^78+796x^79+687x^80+560x^81+534x^82+448x^83+384x^84+222x^85+148x^86+128x^87+45x^88+32x^89+12x^90+12x^91+4x^92+2x^93+3x^96+1x^126 The gray image is a linear code over GF(2) with n=148, k=14 and d=61. This code was found by Heurico 1.16 in 83.5 seconds.