The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 X 0 X 1 1 1 1 0 0 0 1 1 0 1 X 1 1 0 1 0 1 X 1 0 X 1 1 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 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 X+1 X X 0 X+1 X 1 0 X+1 X+1 0 X+1 X 1 1 0 X+1 0 X+1 X X+1 X X 0 0 X 1 1 1 1 0 X 0 X 1 0 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 0 0 1 0 0 0 1 0 1 1 0 0 X+1 1 X X 1 0 1 X X X+1 X+1 0 X 1 1 0 1 0 X 1 0 X 0 1 X+1 X+1 1 X X 1 X 0 1 0 1 1 1 0 0 0 0 0 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 1 0 0 1 0 1 0 1 1 0 X+1 X+1 1 1 X+1 X X+1 1 X 1 1 1 X X+1 0 X 0 0 0 X X X 0 1 X X X 1 0 X+1 1 0 1 0 1 0 0 0 0 0 0 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 0 1 0 1 1 0 0 1 X 1 1 X X 0 X+1 X+1 X 0 0 1 1 X X+1 0 1 X X 1 1 1 X X X+1 1 0 X X 1 X+1 1 1 1 1 1 0 1 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 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 X X X+1 0 1 X 0 X+1 1 X+1 X 1 1 0 X 1 0 X+1 X 1 0 0 X+1 1 X+1 X X 1 0 X X+1 0 X+1 0 0 0 X+1 X 0 0 0 0 0 0 0 X 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 X 0 0 0 X X X 0 0 X X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X 0 X 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 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 X 0 0 X X 0 0 X 0 X X 0 X X X X 0 0 X X X X 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 X 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 0 0 0 0 X X 0 X X 0 X 0 X X 0 0 X X 0 0 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X X 0 0 0 X X 0 0 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 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+10x^40+14x^41+16x^42+34x^43+51x^44+48x^45+78x^46+114x^47+153x^48+186x^49+260x^50+270x^51+294x^52+420x^53+432x^54+436x^55+462x^56+498x^57+543x^58+590x^59+462x^60+426x^61+476x^62+354x^63+304x^64+308x^65+262x^66+176x^67+138x^68+134x^69+106x^70+84x^71+84x^72+88x^73+129x^74+196x^75+253x^76+368x^77+492x^78+668x^79+800x^80+910x^81+1142x^82+1198x^83+1268x^84+1296x^85+1242x^86+1226x^87+1082x^88+986x^89+802x^90+608x^91+540x^92+392x^93+254x^94+192x^95+122x^96+110x^97+70x^98+44x^99+89x^100+106x^101+145x^102+170x^103+275x^104+272x^105+304x^106+432x^107+476x^108+488x^109+500x^110+538x^111+556x^112+460x^113+467x^114+456x^115+408x^116+436x^117+271x^118+280x^119+238x^120+170x^121+139x^122+88x^123+94x^124+62x^125+50x^126+34x^127+23x^128+14x^129+9x^130+4x^131+7x^132+2x^134+1x^136+1x^138+1x^144 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 99.4 seconds.