The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 1 X 0 0 1 1 X 1 0 1 0 1 X 0 1 1 1 0 1 1 X 0 1 1 1 0 1 1 0 X 0 1 0 1 0 1 X X X 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X X 1 1 X+1 1 0 0 0 0 1 1 1 X+1 X X+1 1 1 X+1 X X X X+1 0 1 X 1 X X 1 X X 0 1 1 X 1 X X X+1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 1 0 1 0 0 X+1 1 1 0 X+1 1 1 X X 1 0 X+1 0 X+1 X X+1 1 1 1 X 1 X X+1 0 X+1 X+1 X 1 0 X+1 0 0 X 1 X+1 1 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 X 0 X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 X 0 X 0 0 X 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 X 0 0 X X X 0 0 X X X 0 0 0 0 0 X X 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 X X 0 0 X X X 0 0 0 0 X 0 X 0 0 X X 0 X X X 0 0 0 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X X X X X X 0 X 0 X 0 0 X X 0 0 0 X 0 X X 0 X X X 0 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X 0 X X X X X 0 X X 0 X 0 0 X X 0 0 0 0 X 0 X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X X X 0 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 X 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X X 0 0 0 X X 0 0 X 0 0 0 X X X X X X 0 X 0 X X X X X X 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X 0 X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 X 0 0 X X 0 0 X X X 0 X X X X X X 0 0 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+45x^44+178x^46+389x^48+696x^50+1018x^52+1472x^54+2018x^56+2305x^58+2361x^60+2110x^62+1581x^64+1047x^66+605x^68+300x^70+130x^72+79x^74+34x^76+4x^78+9x^80+1x^82+1x^84 The gray image is a linear code over GF(2) with n=118, k=14 and d=44. This code was found by Heurico 1.16 in 32.9 seconds.