The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 0 1 0 1 0 X 1 1 0 X 0 0 X 1 X 1 1 X 0 X X 1 1 X X 1 1 1 1 1 0 1 1 X 1 X 1 1 1 1 0 0 X X 1 0 0 0 X 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 X X 0 1 X 1 0 X+1 1 1 1 1 1 X 0 1 X+1 X+1 X 0 0 X X 1 X 1 X X+1 0 X+1 X 1 0 1 0 1 0 X 0 1 0 0 0 1 X X+1 1 1 1 1 1 0 X 0 X 0 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X 0 1 1 X+1 X X 1 X X+1 X+1 0 X+1 1 1 0 X+1 X+1 1 X X X X 1 X X 0 X+1 0 0 1 X 1 1 0 1 1 1 X 1 X+1 X+1 1 X X+1 1 0 X 0 0 X 1 0 1 X+1 1 X 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 X 0 X 0 X 1 1 0 1 1 0 1 X X+1 X+1 1 0 1 X X 0 1 1 X+1 1 X+1 1 0 1 1 X 1 1 1 X+1 X+1 X 0 1 X+1 1 X+1 1 X 0 1 0 0 0 X+1 0 1 X 1 X+1 1 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 X X 1 1 0 X+1 X+1 1 1 0 0 X 1 1 X+1 X+1 X+1 0 1 1 1 1 1 1 1 X 1 X X 0 1 1 X+1 1 0 0 X+1 0 X 1 X X 1 0 X+1 1 1 X+1 0 1 X 1 X X+1 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X X X X X 0 X X 0 X 0 X 0 0 0 X X 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 X X X X X 0 X X X 0 X 0 X X X 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X X 0 X 0 X X X X 0 0 X 0 X X X 0 X 0 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X 0 X 0 0 X 0 X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 X X X 0 X X X 0 0 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X 0 0 0 X 0 X X X X X 0 X X X X 0 0 0 X X 0 0 X 0 0 X 0 0 X 0 X X 0 X 0 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+242x^64+552x^66+996x^68+1264x^70+1566x^72+1648x^74+1905x^76+1878x^78+1864x^80+1546x^82+1280x^84+804x^86+482x^88+220x^90+89x^92+22x^94+21x^96+2x^98+1x^108+1x^124 The gray image is a linear code over GF(2) with n=154, k=14 and d=64. This code was found by Heurico 1.16 in 90.1 seconds.