The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X X 1 0 1 1 0 1 1 1 1 0 1 1 X 0 1 X 1 X 0 0 1 1 1 1 1 X 1 1 1 1 0 1 1 X 1 1 1 1 1 0 1 0 1 X X 1 0 0 X X 1 X 1 0 1 0 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 1 0 X+1 1 X 0 0 0 0 X+1 X 1 X 1 0 X+1 1 1 1 X+1 1 X 0 X+1 1 0 X+1 0 X+1 X X 0 X X X+1 0 0 X 1 X+1 1 0 0 1 X 1 0 0 1 0 1 X 1 1 0 X 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 X+1 X+1 X 0 1 X 0 X+1 0 1 0 0 0 X 1 1 X+1 1 0 1 X+1 X 1 X 0 X+1 0 X X+1 X X+1 0 X X 0 1 1 1 X+1 X+1 X+1 X+1 0 X+1 X 0 1 X 1 X 0 1 X+1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 0 X 1 X X X+1 X 1 1 X+1 X X 1 0 1 0 X+1 0 1 0 X+1 0 0 0 1 1 0 X+1 1 1 1 0 1 X 0 X+1 X+1 X X+1 X 1 1 1 X+1 X+1 0 X 1 X X+1 X+1 0 X X+1 0 1 0 0 0 0 X 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 0 X X 0 X X 0 X X 0 0 X X 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X X X 0 X 0 X X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 X X X 0 0 X X 0 X X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 X X X 0 0 0 X 0 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X X 0 X X 0 0 0 0 X 0 X X 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+55x^64+88x^65+159x^66+178x^67+187x^68+212x^69+232x^70+208x^71+201x^72+238x^73+207x^74+272x^75+243x^76+234x^77+215x^78+202x^79+167x^80+146x^81+128x^82+108x^83+127x^84+86x^85+68x^86+46x^87+29x^88+16x^89+9x^90+10x^91+11x^92+4x^93+5x^94+3x^96+1x^98 The gray image is a linear code over GF(2) with n=150, k=12 and d=64. This code was found by Heurico 1.16 in 2.82 seconds.