The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 X X 1 1 X X 1 1 1 X X 1 1 X X 1 1 1 0 X 0 0 0 0 0 0 0 0 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 X X X 0 X X X 0 X X 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 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 X 0 X 0 0 X 0 0 X 0 0 X X X X X X X 0 X 0 0 X X 0 X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 X X X 0 X X 0 0 0 X 0 X X X X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 X 0 0 X X X X 0 0 X X 0 0 X 0 X 0 X 0 X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 X X 0 0 X X 0 X X X 0 0 0 0 0 0 X X X 0 0 X X X X X X X 0 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 0 0 X 0 X X 0 X X 0 X 0 0 X X 0 0 0 0 X X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X X 0 X 0 X X X X X 0 X X 0 0 X 0 0 X 0 X X X 0 0 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X X 0 X X 0 0 X 0 0 X X 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X X X X X 0 0 0 X 0 X 0 X X X 0 0 X X X X 0 0 0 X X X 0 0 0 X X X 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 X X 0 0 X X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 X X X X X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X X X 0 X 0 0 X 0 X X 0 X X 0 0 X X X 0 0 X X 0 X X X X X X X 0 0 0 0 X X X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X 0 X 0 0 X X X 0 X X X 0 X 0 X 0 0 0 0 X 0 X 0 0 X X 0 0 X X 0 0 X 0 0 X 0 X X 0 0 X 0 X X generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+89x^54+191x^56+267x^58+361x^60+433x^62+569x^64+931x^66+1604x^68+2339x^70+2727x^72+2416x^74+1606x^76+971x^78+631x^80+430x^82+328x^84+210x^86+130x^88+81x^90+36x^92+20x^94+7x^96+3x^98+2x^102+1x^124 The gray image is a linear code over GF(2) with n=144, k=14 and d=54. This code was found by Heurico 1.16 in 78.2 seconds.