The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 0 X 0 0 0 0 X X 1 X 1 0 0 1 0 0 1 X 0 0 0 X 1 1 1 0 0 X 1 1 X 0 X 1 1 1 0 0 0 X 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 X X 1 1 0 X X X 0 X 1 X X+1 0 1 1 1 1 1 X 1 X X X 1 1 1 1 X 1 1 1 X+1 1 X+1 0 1 1 X 1 X 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 X X 0 X 0 0 X 1 0 1 1 0 X 0 X+1 1 0 X+1 X 1 0 X+1 1 1 1 X X+1 1 X+1 1 1 0 X X 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 X 0 X+1 1 X X 0 1 X X X 0 0 1 X+1 X+1 0 1 X+1 0 X+1 X+1 X+1 X 0 X X+1 1 0 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 X 1 X+1 1 0 1 1 1 1 1 0 X X+1 1 1 X+1 X 0 X X 0 X+1 0 0 1 0 1 0 X X X+1 1 0 0 0 X+1 0 1 X 0 0 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 0 X 0 X X 0 X X 0 X 0 0 0 0 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X 0 X 0 X 0 0 X 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 0 0 X X X 0 X 0 0 X X X 0 X X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 0 X X X 0 X 0 X 0 X 0 X X X 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 0 X 0 X X 0 0 0 0 0 X X X 0 X 0 0 0 X X 0 0 X X X X X X 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+24x^40+28x^41+95x^42+92x^43+164x^44+242x^45+318x^46+330x^47+359x^48+438x^49+584x^50+656x^51+747x^52+846x^53+848x^54+1028x^55+1023x^56+1136x^57+1229x^58+1280x^59+1345x^60+1366x^61+1473x^62+1444x^63+1368x^64+1460x^65+1415x^66+1272x^67+1278x^68+1120x^69+947x^70+952x^71+920x^72+842x^73+706x^74+748x^75+598x^76+492x^77+393x^78+298x^79+255x^80+186x^81+153x^82+80x^83+87x^84+30x^85+21x^86+12x^87+17x^88+6x^89+10x^90+5x^92+1x^96 The gray image is a linear code over GF(2) with n=126, k=15 and d=40. This code was found by Heurico 1.16 in 99.5 seconds.