The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 X X 1 0 1 0 X 0 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 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 1 1 X 1 0 0 0 0 X+1 1 0 X X+1 X+1 X X X X 1 X+1 X+1 0 X X+1 X 0 0 X 0 0 X 0 0 0 0 1 0 X 0 X 1 0 X 0 0 1 X 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 0 0 0 1 1 0 0 1 1 0 1 0 0 1 X 1 1 1 1 0 1 1 0 1 0 0 0 0 X 0 0 X 0 0 1 0 X 0 X 1 0 0 0 0 1 X 0 0 0 X 0 0 0 X 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 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 0 X 0 1 1 0 X+1 0 0 0 1 1 0 0 0 0 X 1 0 0 X 0 0 X 0 0 0 0 X X 0 0 0 0 1 0 X 0 0 0 X 0 0 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 1 1 1 1 1 0 0 0 1 1 1 0 1 X 0 1 1 X 0 0 0 0 0 X+1 1 0 0 X X 1 1 0 0 1 0 0 0 X 0 0 1 X 0 0 X 1 1 0 X 0 X 0 X 0 X 0 X 0 X 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 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 X X X 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 X 0 0 0 X X 0 0 X X X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 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 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X X 0 X X 0 0 X 0 X X 0 0 X 0 X X X 0 0 X X X 0 0 X 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 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X 0 X X X 0 X X X 0 X X 0 X X 0 X X 0 X 0 X X 0 0 0 0 0 0 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 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 X 0 X 0 X X 0 X X 0 0 X X 0 0 X X X X X 0 0 X X X X X 0 X 0 X X 0 0 X 0 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 0 0 0 0 0 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+5x^40+6x^41+6x^42+4x^43+12x^44+10x^45+14x^46+8x^47+20x^48+16x^49+32x^50+26x^51+37x^52+50x^53+78x^54+70x^55+77x^56+114x^57+118x^58+156x^59+161x^60+178x^61+170x^62+224x^63+229x^64+250x^65+249x^66+274x^67+303x^68+312x^69+338x^70+348x^71+300x^72+306x^73+322x^74+306x^75+355x^76+288x^77+284x^78+282x^79+250x^80+234x^81+219x^82+204x^83+194x^84+224x^85+300x^86+246x^87+368x^88+410x^89+616x^90+614x^91+798x^92+1008x^93+1068x^94+1304x^95+1238x^96+1434x^97+1168x^98+1340x^99+1160x^100+926x^101+888x^102+660x^103+594x^104+432x^105+398x^106+250x^107+237x^108+216x^109+218x^110+188x^111+257x^112+212x^113+262x^114+262x^115+281x^116+310x^117+288x^118+346x^119+310x^120+352x^121+301x^122+324x^123+308x^124+270x^125+300x^126+270x^127+263x^128+274x^129+208x^130+228x^131+192x^132+164x^133+179x^134+134x^135+128x^136+112x^137+93x^138+76x^139+73x^140+52x^141+40x^142+28x^143+22x^144+24x^145+18x^146+14x^147+17x^148+6x^149+11x^150+4x^151+2x^152+3x^154+2x^155+2x^157+2x^162+1x^170 The gray image is a linear code over GF(2) with n=194, k=15 and d=40. This code was found by Heurico 1.16 in 98.1 seconds.