The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 1 1 X 0 0 1 X 1 1 1 1 0 1 X X X 0 1 0 1 0 X 1 0 X 1 0 0 1 1 X 1 X 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 X X 1 1 1 0 1 1 X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 X+1 1 1 1 1 X 0 X X+1 X+1 X 0 X 1 X 1 0 1 1 1 1 0 1 0 X X 0 1 X 1 X X X+1 1 X X+1 X+1 1 X X+1 0 1 X+1 1 1 1 0 0 0 0 1 0 X X+1 0 X 1 X X+1 X 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X 1 X+1 0 0 X+1 X+1 X X+1 1 X 1 1 X X 1 1 1 1 X+1 X+1 1 1 X 0 X 1 0 1 X 1 X+1 0 1 1 1 1 X X X+1 X+1 X 0 1 1 X X 1 X+1 X+1 1 X+1 X 0 X+1 0 X X X 0 0 1 X X+1 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X X+1 X+1 0 1 X+1 X X 0 0 X+1 X 0 X+1 0 0 1 X+1 X+1 X+1 0 X+1 1 X+1 1 X X 1 X+1 1 X+1 X 1 1 1 X+1 X X+1 1 0 X+1 X+1 X 1 X 1 1 1 0 0 X 1 X X X 1 X X+1 X 0 X+1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 0 X+1 X+1 X+1 1 X X X 1 X+1 0 X+1 0 X 1 0 X 1 X 0 X+1 1 0 1 X+1 0 1 0 0 0 X+1 1 1 1 0 X+1 X 1 X 0 1 0 1 X X 0 1 0 X+1 X+1 X+1 X X 1 0 0 X+1 X+1 0 1 X X+1 X+1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 X+1 X 1 X+1 0 1 X X X X 0 1 X+1 X 0 0 X+1 1 1 X+1 0 X+1 1 X X+1 1 X 0 0 1 X+1 X 1 X+1 X 1 X 0 X 0 X X+1 X 1 1 X X 0 X+1 X+1 0 X 1 X+1 1 X X 0 X 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 X X X 0 0 X X X 0 0 X X X 0 X X 0 0 0 0 0 0 X X 0 0 X X X 0 0 X X X 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X 0 X X X X 0 X 0 0 0 0 0 0 X X 0 0 X X X 0 X X X 0 X 0 0 0 X 0 0 0 X X 0 0 0 X X 0 0 X 0 0 0 X X 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+242x^66+635x^68+964x^70+1313x^72+1480x^74+1676x^76+1810x^78+1888x^80+1866x^82+1641x^84+1186x^86+756x^88+520x^90+238x^92+111x^94+41x^96+12x^98+2x^100+1x^110+1x^120 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 93.6 seconds.