The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 0 0 1 0 X 1 1 0 1 1 X 1 1 1 0 1 0 1 0 1 1 X X X 1 1 1 1 1 X 1 1 1 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 X+1 0 1 X 0 0 X+1 1 1 0 0 0 X X+1 0 X+1 1 X+1 X 0 1 1 0 0 X 1 1 1 X+1 X 0 1 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 X+1 1 0 X+1 0 0 1 0 1 X+1 X+1 X+1 1 X 0 1 0 1 X 1 X 0 0 1 X 1 X+1 1 0 0 X+1 X+1 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 X 0 X X X+1 0 1 X X X+1 0 X X+1 1 X+1 1 0 1 X X X X+1 0 0 0 0 X+1 X+1 0 X 0 1 X+1 0 0 0 0 X 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 0 X 0 X X X X 0 X X 0 X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 X X 0 X 0 X X X X X 0 0 0 X X X X 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 0 0 X X X 0 X 0 0 X X X X 0 X X 0 X X 0 X X 0 0 X X X X X 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 0 X X 0 X 0 X X X X 0 X 0 0 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 X X X generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+137x^42+406x^44+466x^46+505x^48+561x^50+562x^52+540x^54+414x^56+267x^58+142x^60+66x^62+16x^64+11x^66+2x^68 The gray image is a linear code over GF(2) with n=102, k=12 and d=42. This code was found by Heurico 1.16 in 1.73 seconds.