The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 1 1 0 1 X 1 X 1 0 1 0 0 X 1 1 1 X 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 X 1 1 X 0 1 X 1 1 1 X 0 X+1 0 0 X X 1 0 1 1 X 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X+1 X X+1 0 X X 1 0 1 X 1 1 0 X+1 0 0 X X+1 0 X 1 X+1 X 1 X X+1 X 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X+1 1 X 0 0 X 1 X+1 X X+1 X X+1 X 1 X X 0 0 1 1 X+1 X+1 1 X 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X+1 X 0 X 1 X+1 X+1 1 X X+1 0 1 X+1 0 0 1 1 1 0 X X+1 X+1 1 X X+1 0 X+1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 1 X X+1 X+1 X+1 1 1 1 X 1 0 X+1 X X+1 1 0 X+1 X 0 1 X+1 X X+1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X X 0 0 0 0 0 X 0 0 X 0 X X 0 0 X X X X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X 0 0 0 X 0 X 0 X X 0 0 X 0 X 0 0 0 X X X 0 0 X generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+294x^32+786x^34+1406x^36+1926x^38+2373x^40+2672x^42+2499x^44+2120x^46+1337x^48+622x^50+270x^52+66x^54+11x^56+1x^76 The gray image is a linear code over GF(2) with n=84, k=14 and d=32. This code was found by Heurico 1.16 in 49.2 seconds.