The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 1 0 1 1 X 1 X 1 0 X 1 1 0 X 1 0 X 0 1 1 0 1 X 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 X 1 X 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 0 X 0 X+1 1 0 1 0 X+1 1 X 1 0 X X+1 1 1 X 0 1 X 1 1 1 1 1 X 0 1 0 1 1 X 1 1 0 0 0 0 1 1 X 0 X X 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 0 1 1 X+1 X+1 1 1 X X+1 0 X X X+1 X 0 0 X+1 1 1 0 1 0 0 1 X+1 1 1 0 1 X+1 X 1 1 X 1 X 1 X X+1 1 1 0 1 X 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 1 X 1 X+1 0 0 0 1 0 X X+1 1 1 X X 1 X+1 X+1 0 1 1 X 1 X X X X+1 1 X+1 0 X 0 1 X X X+1 X 1 1 X X+1 1 0 X 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 X X X X X X X X X X X X X X X 0 0 X 0 X 0 X X X X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X X X X X X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 0 X 0 X 0 0 X X 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 0 0 0 X 0 X X X X X X 0 0 X 0 0 X 0 0 0 X X X X X X 0 0 X 0 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X X X 0 0 X X X X X X 0 0 0 0 0 X X 0 0 X X 0 0 X 0 X X 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 X X 0 X X 0 0 0 X 0 X 0 0 X X 0 X 0 X X X 0 X X 0 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+52x^48+80x^49+181x^50+220x^51+249x^52+328x^53+371x^54+422x^55+469x^56+454x^57+485x^58+538x^59+524x^60+528x^61+522x^62+496x^63+411x^64+456x^65+327x^66+308x^67+262x^68+164x^69+135x^70+58x^71+61x^72+34x^73+23x^74+6x^75+12x^76+4x^77+4x^78+6x^80+1x^84 The gray image is a linear code over GF(2) with n=120, k=13 and d=48. This code was found by Heurico 1.16 in 8.65 seconds.