The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X 1 1 1 1 1 1 1 1 1 1 X 1 1 X X 1 1 1 1 1 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 X 0 X X 0 X X 0 X X 0 X X X X 0 0 0 X X 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 X X X 0 X X 0 X X 0 X 0 X X 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 0 0 0 X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 X X 0 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X X 0 X 0 X 0 0 0 X X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X X X X 0 0 0 X X 0 0 0 X 0 0 X X 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X 0 X X X X 0 0 0 generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+70x^28+79x^30+220x^32+211x^34+486x^36+112x^37+479x^38+336x^39+791x^40+896x^41+775x^42+1792x^43+936x^44+2016x^45+965x^46+1568x^47+805x^48+1024x^49+886x^50+384x^51+534x^52+48x^53+415x^54+16x^55+185x^56+196x^58+54x^60+76x^62+14x^64+11x^66+2x^70+1x^74 The gray image is a linear code over GF(2) with n=90, k=14 and d=28. This code was found by Heurico 1.16 in 26.1 seconds.