The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 0 0 1 1 1 1 0 0 0 X 1 0 X X 1 1 1 X X 1 0 1 X 0 X 1 X 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 X 0 1 X+1 1 X+1 0 1 X 1 0 X+1 1 1 1 X X 1 1 X X 1 X+1 0 1 0 1 X 1 X X+1 1 1 X 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 1 0 X X+1 X+1 X X+1 X+1 1 X X 1 X+1 X+1 0 0 X 0 X+1 1 X+1 0 X 1 X 0 0 1 1 0 1 1 X X+1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 X+1 X X X X+1 0 0 X+1 1 1 1 X X X X 0 X+1 0 X 1 1 X+1 X 1 0 X+1 X 1 X 0 0 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 0 0 X X X 0 X 0 X X X X X 0 0 X 0 X 0 X 0 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X X 0 0 X 0 X 0 X 0 0 X X X X 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 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 0 X X X X X X X X X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 0 X X X X 0 0 X X X X 0 0 X X 0 0 X 0 X 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 X X X 0 0 X X X X 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 X X 0 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 0 generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+187x^42+495x^44+941x^46+1344x^48+1798x^50+2214x^52+2301x^54+2268x^56+1999x^58+1393x^60+805x^62+399x^64+144x^66+73x^68+16x^70+4x^72+1x^84+1x^86 The gray image is a linear code over GF(2) with n=108, k=14 and d=42. This code was found by Heurico 1.16 in 93.7 seconds.