The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 X 0 X X 0 0 1 1 X 0 1 X 1 0 0 0 1 1 X 1 1 0 X 1 1 X X 1 0 X 0 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 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 X 0 X+1 0 X 1 0 X 0 1 X 1 X+1 1 X 1 X+1 1 1 1 0 1 1 X+1 X X 1 0 X+1 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 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 X X+1 1 1 1 1 1 X+1 1 X X+1 0 1 X X+1 0 X 1 X+1 1 1 0 X+1 X+1 0 0 1 X+1 1 1 0 X X+1 1 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 X+1 X+1 0 X+1 X+1 X+1 1 X X X+1 1 X+1 0 X+1 X X 0 0 0 X+1 X X 1 1 X+1 X+1 0 1 0 0 1 1 0 X+1 1 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 0 X+1 1 X+1 X+1 X 0 1 1 X+1 1 0 0 X+1 0 0 X+1 1 X+1 X 1 1 X+1 1 1 X+1 0 X+1 X 1 0 1 X 0 0 0 0 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 0 0 0 0 X 0 X X 0 X 0 X X X 0 0 X X X X X X X X 0 0 X 0 X X X X 0 X X X X X 0 0 X X 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 0 0 0 0 0 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X 0 X X 0 0 X X X 0 X 0 0 0 X 0 X 0 X X X 0 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 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 0 X 0 X 0 X 0 X 0 X 0 X X X X 0 0 X X X X X X 0 0 X 0 X 0 X 0 X X 0 0 X 0 X X X 0 X 0 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 0 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X X 0 X X X 0 X 0 0 X X 0 0 0 0 0 0 0 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 X 0 0 X 0 X X X 0 X 0 0 X X X X X 0 X X 0 0 0 X 0 0 X X X 0 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+20x^40+22x^41+79x^42+84x^43+147x^44+120x^45+180x^46+262x^47+339x^48+414x^49+462x^50+562x^51+517x^52+590x^53+564x^54+612x^55+562x^56+554x^57+486x^58+368x^59+329x^60+256x^61+234x^62+204x^63+195x^64+176x^65+270x^66+294x^67+415x^68+498x^69+642x^70+752x^71+920x^72+1138x^73+1163x^74+1244x^75+1264x^76+1330x^77+1184x^78+1150x^79+993x^80+762x^81+680x^82+498x^83+378x^84+284x^85+245x^86+168x^87+194x^88+184x^89+228x^90+224x^91+381x^92+376x^93+444x^94+544x^95+534x^96+688x^97+582x^98+648x^99+561x^100+506x^101+456x^102+396x^103+288x^104+226x^105+212x^106+156x^107+115x^108+54x^109+66x^110+24x^111+34x^112+12x^113+14x^114+2x^115+5x^116+2x^117+1x^118 The gray image is a linear code over GF(2) with n=152, k=15 and d=40. This code was found by Heurico 1.16 in 97 seconds.