The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X 0 1 1 1 X 1 X X X 1 X 1 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 X X X 0 X X 0 0 X 0 0 X 0 X 0 0 X X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 0 X X X 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X X X X 0 X X X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 0 X X X 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X X 0 X X X X X X X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X 0 0 X 0 X X X 0 X X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X X X X 0 X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X X X X X 0 0 X X X X X X 0 0 X 0 X 0 X 0 0 0 X generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+182x^48+20x^50+216x^52+120x^54+415x^56+224x^58+323x^60+136x^62+240x^64+12x^66+92x^68+57x^72+8x^76+1x^80+1x^92 The gray image is a linear code over GF(2) with n=116, k=11 and d=48. This code was found by Heurico 1.16 in 67.1 seconds.