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 1 0 1 1 1 1 X 0 1 1 1 1 1 0 X 0 X 1 0 1 X X X X 0 0 1 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 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 X X+1 1 X 0 X+1 X 0 X X+1 X+1 1 1 X+1 X X 0 0 X 1 1 0 0 0 0 0 1 X 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 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 0 X 1 1 X+1 X X X+1 X 1 1 X 0 X 1 X X+1 0 0 1 0 1 1 0 0 1 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 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 1 0 1 X 0 X 0 X X 0 1 1 1 1 X X 0 X+1 X+1 1 X 0 0 1 1 0 1 1 1 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 1 1 1 0 0 1 1 X 1 1 1 X X+1 X+1 1 X X+1 0 1 X 1 X+1 X 0 1 1 0 0 X+1 X+1 1 X 0 0 0 1 X+1 X X X X+1 1 0 1 0 X 1 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 X 0 0 0 0 0 X 0 X X 0 X 0 X X X 0 X X X 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 X 0 X 0 X 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 X 0 0 0 0 X X X 0 0 X X 0 0 X X 0 0 X X X X 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 X X X 0 0 0 X X 0 0 0 0 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 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X X X 0 0 X X X X 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X X X 0 0 0 X 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 0 0 0 0 0 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 0 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 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X 0 X 0 X 0 0 X X X 0 0 X X X 0 0 0 X 0 0 X 0 0 X X X 0 0 X 0 X 0 0 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 generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+3x^40+14x^41+10x^42+18x^43+37x^44+46x^45+73x^46+84x^47+148x^48+192x^49+255x^50+246x^51+293x^52+390x^53+451x^54+494x^55+536x^56+558x^57+535x^58+604x^59+517x^60+458x^61+417x^62+360x^63+316x^64+292x^65+205x^66+174x^67+138x^68+90x^69+99x^70+88x^71+97x^72+86x^73+139x^74+240x^75+318x^76+368x^77+514x^78+604x^79+785x^80+1006x^81+1072x^82+1186x^83+1233x^84+1258x^85+1250x^86+1162x^87+1056x^88+898x^89+816x^90+630x^91+504x^92+388x^93+251x^94+244x^95+158x^96+116x^97+106x^98+70x^99+90x^100+102x^101+143x^102+162x^103+252x^104+254x^105+330x^106+420x^107+403x^108+462x^109+510x^110+562x^111+542x^112+554x^113+512x^114+488x^115+411x^116+432x^117+340x^118+246x^119+248x^120+162x^121+122x^122+100x^123+87x^124+54x^125+31x^126+10x^127+16x^128+12x^129+10x^130+1x^132+1x^134+2x^136 The gray image is a linear code over GF(2) with n=170, k=15 and d=40. This code was found by Heurico 1.16 in 99.7 seconds.