The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 1 X 0 X 1 X X 1 1 1 1 X 0 1 1 1 X 1 X X 1 X 1 1 1 1 1 1 0 X 1 0 1 1 0 X X 1 0 1 0 0 0 0 0 0 0 1 X+1 1 1 X 1 1 X 1 1 1 X X+1 1 1 0 X X X+1 X+1 1 X 1 1 X+1 1 X X X X+1 X+1 1 1 X X+1 1 0 X 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 1 1 X+1 1 1 0 X 0 X 1 0 X+1 X 0 0 1 0 X X+1 X X X 1 X 1 0 X+1 X 1 1 1 X+1 X X 1 0 0 0 0 1 0 1 1 0 1 0 0 X+1 X X+1 0 1 X+1 1 X+1 0 X 1 X 0 X 1 0 0 1 1 X+1 1 0 X X X+1 0 X 1 X+1 X+1 X+1 1 X 0 X+1 X X 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 X+1 X 1 0 0 1 X+1 X X+1 X X 1 X+1 X+1 0 X+1 1 X 1 0 X+1 X 0 X 0 X 1 X 0 X 1 X+1 1 1 1 1 1 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 0 0 X X 0 X 0 X X X X X 0 X 0 0 X 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X 0 X X X 0 X X 0 X 0 0 X 0 0 X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 0 0 X X 0 X X X X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 X 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 0 0 0 X X 0 X 0 X 0 X 0 X X X X X X X X 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 0 0 0 0 X X X X 0 X X 0 X X 0 0 X X X X X 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+74x^38+136x^39+327x^40+454x^41+648x^42+746x^43+1139x^44+1302x^45+1531x^46+1844x^47+1958x^48+2296x^49+2445x^50+2594x^51+2422x^52+2504x^53+2222x^54+2008x^55+1632x^56+1278x^57+1002x^58+742x^59+612x^60+318x^61+215x^62+108x^63+81x^64+36x^65+49x^66+14x^67+18x^68+4x^69+6x^70+1x^72+1x^76 The gray image is a linear code over GF(2) with n=102, k=15 and d=38. This code was found by Heurico 1.16 in 92.1 seconds.