The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 2 0 1 0 2 2 0 2 1 1 0 1 0 1 1 1 0 1 1 1 2 0 0 1 2 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 3 2 2 2 1 3 2 2 1 1 0 1 2 1 1 2 1 1 2 2 1 2 1 1 0 1 1 3 1 0 1 2 0 3 3 2 2 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 0 1 0 1 1 0 0 3 1 0 2 0 1 3 2 0 1 2 1 1 3 0 2 3 2 2 3 0 2 0 0 2 3 0 0 1 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 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 0 1 1 0 3 1 2 2 3 0 2 0 0 3 3 1 2 1 2 0 1 2 3 0 0 2 2 0 0 0 3 1 1 0 1 0 3 0 1 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 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 0 1 1 2 2 3 1 2 2 0 2 3 0 1 3 2 1 3 1 2 1 0 1 3 1 3 0 1 2 2 2 3 3 0 3 1 0 1 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 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 2 2 3 1 1 1 0 0 0 1 1 1 2 3 2 2 0 2 3 1 3 2 0 2 2 1 1 1 3 1 1 1 0 3 1 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 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 83 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+11x^40+10x^41+19x^42+26x^43+52x^44+62x^45+107x^46+176x^47+180x^48+220x^49+270x^50+322x^51+388x^52+442x^53+514x^54+504x^55+498x^56+558x^57+511x^58+510x^59+506x^60+486x^61+383x^62+326x^63+299x^64+196x^65+184x^66+130x^67+94x^68+84x^69+90x^70+120x^71+191x^72+218x^73+266x^74+246x^75+488x^76+776x^77+792x^78+684x^79+1006x^80+1496x^81+1304x^82+1060x^83+1312x^84+1674x^85+1102x^86+708x^87+800x^88+732x^89+476x^90+264x^91+284x^92+200x^93+140x^94+84x^95+77x^96+98x^97+112x^98+146x^99+179x^100+180x^101+289x^102+328x^103+416x^104+448x^105+478x^106+508x^107+532x^108+618x^109+558x^110+496x^111+484x^112+444x^113+341x^114+358x^115+274x^116+204x^117+191x^118+124x^119+92x^120+58x^121+38x^122+46x^123+18x^124+10x^125+24x^126+2x^127+9x^128+2x^129+1x^130+1x^132+2x^134 The gray image is a code over GF(2) with n=166, k=15 and d=40. This code was found by Heurico 1.16 in 98.9 seconds.