The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 1 1 X 0 X 1 1 0 0 1 X 1 1 X 1 0 1 1 X 0 1 1 X 0 1 1 1 1 X 1 1 1 1 X 0 X 1 1 1 X X 0 X 1 X 1 X 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 X 1 X 1 X 0 X X 1 1 1 1 X X 0 X X 0 0 X 1 1 X+1 X X 0 X+1 1 1 1 0 0 X 1 X 1 0 0 X+1 1 X 1 X 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 X X 0 X X X 0 X 1 X+1 1 X+1 X+1 1 1 1 X+1 X+1 1 X+1 1 1 1 1 X+1 1 1 X+1 1 0 1 1 1 1 X+1 X 1 X 1 0 1 1 1 0 X+1 X X+1 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 1 1 X X 0 X 1 0 0 X+1 1 1 0 1 X+1 X 0 0 0 X X 0 X 0 X+1 X 0 0 X+1 X+1 1 0 0 1 X+1 1 0 0 X+1 1 X 1 1 1 1 1 1 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 0 0 X X+1 0 X X+1 1 X X 1 1 1 0 1 X X+1 1 0 1 X X 0 0 X X 0 1 X+1 1 X+1 0 1 X+1 1 0 X 0 X+1 1 1 1 X X 0 X 1 1 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 X+1 1 X 0 0 1 1 1 1 0 X 0 0 1 1 0 X X X X+1 X+1 1 X 0 1 X+1 0 X+1 X 1 1 X+1 0 X 1 1 0 0 X 0 X X+1 X+1 X X 0 1 0 1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 1 X+1 1 1 X X 1 X+1 1 X X+1 X+1 0 X+1 0 X+1 0 X+1 0 0 X+1 0 X X+1 X 1 X 0 0 X+1 1 X+1 1 X+1 1 0 X+1 X 1 0 1 X+1 0 1 1 X+1 X 1 generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+238x^66+619x^68+1016x^70+1268x^72+1526x^74+1734x^76+1744x^78+1882x^80+1722x^82+1587x^84+1324x^86+838x^88+542x^90+228x^92+76x^94+33x^96+4x^98+1x^104+1x^136 The gray image is a linear code over GF(2) with n=158, k=14 and d=66. This code was found by Heurico 1.16 in 95.4 seconds.