The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 1 1 1 1 0 0 1 0 X 1 X X 1 X 1 0 1 0 1 1 0 0 0 0 1 1 X 1 0 X X 1 1 0 0 0 1 1 1 1 0 1 X 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X X+1 X X X 1 X 0 X 1 0 1 1 1 1 X 1 X+1 X 1 1 X 1 0 1 X 1 1 0 X X X X 1 1 1 1 0 X 0 X 1 X+1 1 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X 0 0 0 X 1 1 X 1 1 0 X+1 X 0 X X+1 1 1 0 X+1 X 0 1 1 X 1 X 1 1 0 X 1 X+1 X+1 0 X+1 X X+1 X+1 X X+1 0 1 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X X+1 1 0 1 X+1 0 1 X+1 X 0 0 X 0 X+1 X+1 X X+1 X+1 X 1 1 X+1 0 X 1 1 X X 1 1 X 0 0 1 X X+1 X X 0 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 X X X 0 0 X 0 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X 0 0 0 X X 0 0 X X 0 X 0 0 X 0 X 0 0 X 0 X 0 X X X 0 X 0 0 0 X 0 X X 0 0 X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X X X X X 0 X X 0 0 0 0 X 0 0 X X 0 X 0 0 X 0 X X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 X X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 0 X 0 0 X 0 X X 0 X X 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 X X 0 0 X 0 X X 0 X X 0 X X 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 X 0 0 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+118x^60+326x^62+700x^64+690x^66+946x^68+880x^70+967x^72+906x^74+893x^76+686x^78+539x^80+302x^82+148x^84+44x^86+30x^88+6x^90+7x^92+2x^96+1x^104 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 11.4 seconds.