The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 X 0 X 0 1 1 1 X 0 X 1 1 X X 1 0 1 1 1 1 1 1 1 0 X 1 1 0 1 X X X 1 X 1 X X X 1 0 X 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 X+1 1 1 X+1 1 1 X X 1 X X X+1 X 1 X+1 X 1 X 1 1 X 1 1 X+1 1 X 1 X+1 X 1 0 X+1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X+1 X 1 1 X X+1 X 1 X+1 0 1 X 0 0 X+1 X+1 X 0 1 X+1 X X 1 X X X X 1 1 X+1 X+1 X X 0 X X 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 X 0 1 X 0 X+1 X+1 1 1 1 0 1 X 1 X X X X+1 X 0 0 X+1 1 0 1 1 X+1 0 0 X+1 0 0 0 1 X X X+1 X X+1 X+1 1 1 1 1 X 0 X 0 0 0 0 0 0 1 0 0 0 1 0 X+1 1 X 1 1 X X+1 0 X X 1 X 1 X 0 1 X 1 X 0 X 1 0 X 0 1 1 X+1 1 X+1 X+1 1 1 1 X+1 1 1 X+1 1 X 0 X X+1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 X 0 1 X+1 0 0 X X+1 X+1 X+1 1 X X+1 X+1 X+1 X+1 X+1 X+1 X+1 X 0 X 0 1 0 0 1 1 X 0 X+1 X+1 X+1 0 X 1 1 0 0 1 0 0 1 1 X 0 X+1 X X+1 1 0 0 0 0 0 0 0 1 0 1 X+1 X X X+1 1 X+1 X+1 X X+1 X X+1 X 0 X+1 X+1 0 0 X 1 X 1 X X X+1 0 0 1 0 1 X+1 1 0 0 X X+1 0 X+1 0 0 0 1 X+1 0 1 0 1 X 0 X 1 0 0 0 0 0 0 0 0 1 X X 1 1 X+1 1 1 1 1 X+1 X X 0 X X 0 X+1 X X+1 X+1 0 X+1 X+1 X 1 X+1 X 1 X+1 X+1 X+1 X 0 X 1 X+1 0 1 X+1 X X+1 X 0 X X X X+1 X X X+1 X 1 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+42x^45+193x^46+318x^47+542x^48+762x^49+1070x^50+1402x^51+1671x^52+2066x^53+2581x^54+3048x^55+3670x^56+3830x^57+4221x^58+4708x^59+4547x^60+4698x^61+4540x^62+4440x^63+3808x^64+3200x^65+2640x^66+2030x^67+1653x^68+1210x^69+918x^70+572x^71+432x^72+266x^73+189x^74+116x^75+57x^76+48x^77+31x^78+6x^79+3x^80+6x^81+1x^86 The gray image is a linear code over GF(2) with n=120, k=16 and d=45. This code was found by Heurico 1.11 in 194 seconds.