The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 1 1 0 X X 0 1 1 0 X 1 0 X 1 0 X 1 X X 1 1 1 1 X 0 1 0 1 1 X 1 1 X 1 0 X 1 1 1 X 1 1 X 1 0 X 0 1 1 X 1 X 1 1 0 1 1 X X X X 0 0 X 0 1 1 1 1 1 0 1 1 1 X 0 1 1 X 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 X+1 1 1 1 1 1 1 1 0 1 X X+1 X 0 1 0 X X 1 1 X 1 X 1 1 X X 0 1 X+1 1 X 1 1 X 1 X X+1 X+1 X+1 1 0 X+1 1 X+1 0 0 0 X 0 1 X+1 1 1 X 0 1 X+1 X 1 1 X X 0 X 1 X+1 X+1 X 0 X+1 0 X+1 1 X+1 1 X 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 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 1 X+1 X+1 1 X+1 1 X+1 1 X+1 1 X+1 X+1 1 1 1 1 X+1 X+1 X 1 X+1 X+1 1 X+1 X 1 X+1 X 1 1 1 1 X+1 X 1 X+1 1 X X X+1 1 1 1 X 1 1 X+1 0 X+1 0 0 0 0 1 0 0 0 0 0 0 0 X 0 X 0 X 0 X 1 X+1 X+1 1 X+1 1 1 1 X 1 1 1 X 1 X+1 X+1 X+1 X+1 1 X 1 X 0 1 X+1 0 0 X+1 1 0 X X+1 0 1 X 1 1 1 1 0 1 0 0 1 0 0 X 1 X+1 1 1 0 1 X X X+1 X+1 1 X+1 1 X X+1 0 0 X+1 0 X 1 X X 1 X X+1 0 X+1 X 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 X X+1 X 1 0 1 X X+1 X X+1 1 X X X X 1 X+1 1 0 0 1 0 0 1 X+1 0 1 1 X+1 1 0 0 X+1 X+1 1 1 1 0 X+1 X+1 X+1 X X X 1 X 0 X+1 X+1 1 0 0 X+1 X+1 1 X 0 1 X+1 1 0 X+1 X+1 X 1 1 X+1 1 X+1 X 1 X+1 0 0 X+1 X X 1 0 0 1 1 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 0 X+1 X+1 X 1 0 0 X X 0 1 1 1 X 0 1 1 1 1 1 0 X 1 1 1 0 X 1 0 X X+1 0 0 X+1 X+1 X+1 0 X 1 X+1 X X 0 1 1 0 X+1 X 0 X X 0 X X+1 0 1 1 0 0 0 0 0 X 0 X+1 X 1 X+1 0 1 X X+1 1 1 0 1 X 1 0 X+1 X+1 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X 0 1 1 1 1 0 X 0 X X+1 1 0 1 0 X X X 0 1 0 0 1 X+1 X+1 X 0 X X X 1 X+1 1 0 0 X+1 X+1 1 1 X+1 X X X+1 X+1 X 1 1 0 1 X+1 0 X 1 X 0 X X X+1 X+1 X+1 0 0 1 0 1 X 1 0 1 1 1 X+1 0 X 0 X 0 X+1 0 X+1 1 0 X+1 X 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X X 0 X X 0 X X X 0 X X 0 0 0 0 X 0 X X 0 0 X X X 0 0 X 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X X X X X 0 0 0 X X X X 0 0 generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+74x^80+188x^81+288x^82+488x^83+567x^84+654x^85+778x^86+932x^87+1069x^88+1198x^89+1390x^90+1360x^91+1518x^92+1584x^93+1625x^94+1774x^95+1754x^96+1692x^97+1776x^98+1642x^99+1481x^100+1530x^101+1294x^102+1188x^103+1096x^104+946x^105+738x^106+600x^107+490x^108+312x^109+257x^110+186x^111+125x^112+88x^113+40x^114+22x^115+15x^116+6x^118+1x^120+1x^164 The gray image is a linear code over GF(2) with n=192, k=15 and d=80. This code was found by Heurico 1.11 in 88.8 seconds.