The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 X X X 1 X 1 X 1 1 1 1 1 1 1 0 1 X 1 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 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 X 1 0 1 X 0 1 1 0 0 0 0 0 X X+1 1 X+1 1 X 0 X 1 0 0 X 1 X+1 1 X 0 1 1 X 1 0 X 0 0 0 0 0 0 0 0 X 1 0 0 0 0 X 0 0 0 X 0 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 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 X 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 X+1 1 1 0 1 0 0 0 X 0 0 0 X 0 0 X 1 0 0 0 0 X 0 0 X X 0 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 1 0 1 1 1 0 0 0 1 0 1 0 1 1 X X 0 1 0 0 1 0 1 1 0 0 1 X 1 0 0 0 X 1 1 1 X+1 0 0 0 0 1 1 1 X 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X 0 0 0 0 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 1 1 1 0 0 1 1 0 X+1 1 0 1 X X+1 X X+1 0 1 X+1 X+1 1 0 0 1 1 0 X+1 0 X+1 X 0 X+1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 X 0 0 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 X 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 0 0 X X X 0 X X 0 X 0 0 X X 0 X 0 0 X X X X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 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 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 X 0 X X 0 0 0 X 0 0 0 0 X X 0 0 0 X 0 X X 0 0 X X 0 0 X 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 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 0 0 X X X 0 X 0 0 X X 0 0 X 0 0 0 0 X X 0 0 0 X X 0 X 0 0 X 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 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 X X X X 0 X X 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 0 0 X X X 0 0 X X 0 0 0 X 0 X 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 0 0 X X X X X X 0 0 0 X 0 X 0 X 0 0 0 0 0 0 X X 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+10x^40+12x^41+13x^42+16x^43+25x^44+18x^45+36x^46+52x^47+56x^48+58x^49+112x^50+96x^51+138x^52+186x^53+201x^54+254x^55+256x^56+316x^57+291x^58+394x^59+368x^60+424x^61+452x^62+420x^63+467x^64+438x^65+414x^66+378x^67+378x^68+330x^69+325x^70+256x^71+236x^72+166x^73+146x^74+152x^75+103x^76+90x^77+66x^78+66x^79+78x^80+110x^81+180x^82+216x^83+310x^84+496x^85+614x^86+832x^87+1056x^88+1108x^89+1186x^90+1320x^91+1258x^92+1296x^93+1308x^94+1088x^95+1000x^96+828x^97+656x^98+510x^99+338x^100+250x^101+144x^102+100x^103+80x^104+56x^105+44x^106+84x^107+100x^108+128x^109+151x^110+186x^111+254x^112+264x^113+348x^114+344x^115+340x^116+392x^117+454x^118+414x^119+436x^120+442x^121+387x^122+410x^123+409x^124+370x^125+306x^126+324x^127+281x^128+220x^129+204x^130+176x^131+137x^132+138x^133+99x^134+72x^135+53x^136+44x^137+29x^138+32x^139+13x^140+10x^141+13x^142+7x^144+2x^145+6x^146+3x^148+7x^150+1x^152 The gray image is a linear code over GF(2) with n=184, k=15 and d=40. This code was found by Heurico 1.16 in 98.7 seconds.