The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 1 0 X 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 0 1 1 1 X 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 X+1 1 X+1 0 X+1 1 1 0 0 1 1 X+1 1 0 0 0 X+1 X X X+1 X X+1 1 1 1 1 1 0 1 X 1 X+1 X+1 0 1 1 1 0 X+1 X 1 1 1 0 0 0 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 X X X X X X X X 0 X X X X X X 0 X X X X X 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 X X X X 0 X 0 X X X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X X X 0 0 X X 0 0 0 X X 0 X X X X 0 X X X 0 X 0 X 0 0 0 X 0 0 0 0 0 X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 X X X X 0 X 0 X X 0 0 0 0 X 0 X X 0 0 0 X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 X 0 X 0 0 X 0 0 X X 0 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 X X 0 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X X 0 0 X X X X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X 0 X X X X X X X 0 X X X X 0 X 0 0 0 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 0 0 X X 0 X X X 0 X 0 0 X X X X X X X 0 X 0 0 0 X X X 0 X X 0 0 X 0 X X 0 X 0 0 X X 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+44x^48+16x^49+85x^50+72x^51+139x^52+118x^53+195x^54+204x^55+217x^56+290x^57+246x^58+312x^59+246x^60+340x^61+257x^62+288x^63+204x^64+204x^65+150x^66+128x^67+108x^68+54x^69+53x^70+20x^71+43x^72+2x^73+30x^74+18x^76+7x^78+3x^80+1x^82+1x^84 The gray image is a linear code over GF(2) with n=120, k=12 and d=48. This code was found by Heurico 1.16 in 2.7 seconds.