The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 1 X 1 X X 1 1 1 1 0 X 1 X 1 1 0 1 1 1 0 1 X X 1 1 X X X 1 1 1 X X 0 0 X 0 0 X 0 1 1 0 X X 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 0 1 X+1 0 X X+1 1 0 X 1 1 0 1 X X 1 1 X+1 X+1 1 0 X X 1 X+1 X 0 1 X 0 X+1 1 0 1 1 1 1 1 0 1 X X 1 1 1 X X 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 1 X+1 1 1 0 X 0 1 1 X+1 X X+1 1 1 X 0 X+1 0 1 X+1 X 1 1 0 1 X X X X X+1 1 X+1 0 0 X X+1 X+1 X X+1 X X 1 0 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 1 0 0 1 0 1 0 0 X+1 1 0 X+1 0 0 X 1 1 1 0 X+1 1 1 X X+1 X+1 1 X X X+1 0 0 X 1 X 0 X X+1 X+1 1 0 0 0 1 X X+1 0 1 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 X+1 1 1 X 1 X 1 1 X X X+1 X+1 0 X+1 1 X+1 X 0 0 0 1 X+1 X 0 X 1 X+1 X+1 X 1 X+1 X 0 X X X 1 0 X 1 X 0 0 0 X+1 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X 0 X 0 X X 0 X 0 X 0 0 X X X 0 0 X 0 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 X X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 X X 0 0 X 0 0 X 0 X X 0 X 0 X 0 X X X 0 X X 0 0 X X X X X 0 X 0 X X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 X 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 0 X X X X X X X X X X X 0 X X X 0 X 0 0 X X 0 0 X X X 0 generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+60x^60+114x^61+167x^62+294x^63+314x^64+310x^65+400x^66+440x^67+448x^68+430x^69+469x^70+516x^71+469x^72+432x^73+457x^74+488x^75+382x^76+384x^77+373x^78+292x^79+285x^80+192x^81+147x^82+118x^83+68x^84+56x^85+31x^86+26x^87+19x^88+2x^89+3x^90+2x^91+2x^92+1x^98 The gray image is a linear code over GF(2) with n=144, k=13 and d=60. This code was found by Heurico 1.16 in 11.3 seconds.