The generator matrix 1 0 0 1 1 1 2 0 1 1 0 1 1 2 4 1 0 1 4 1 6 0 4 1 2 2 2 1 1 1 6 6 2 0 1 1 4 1 1 1 6 1 4 1 0 1 4 4 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 1 2 3 1 0 0 5 1 2 7 1 2 6 1 2 0 5 1 2 1 6 0 0 4 3 1 4 6 6 2 1 6 5 1 5 7 3 1 3 1 4 1 7 1 1 1 6 2 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 1 1 2 3 2 3 2 3 1 0 2 3 1 0 3 1 3 6 0 1 1 3 2 2 1 1 1 3 0 1 1 2 0 0 1 3 7 3 2 0 3 3 1 1 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 2 0 6 0 6 2 0 2 2 0 2 0 4 2 6 2 4 4 2 6 2 4 6 4 0 0 6 2 2 2 0 4 2 4 6 2 4 2 4 6 6 2 6 6 6 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 4 0 0 0 0 4 0 0 4 4 4 4 0 4 0 4 0 4 0 0 4 0 0 4 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 4 0 0 0 4 4 0 4 0 0 4 0 4 0 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 4 0 0 0 4 0 0 4 0 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 0 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 4 0 0 4 0 4 0 4 0 0 4 4 0 0 0 0 4 0 4 0 4 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 72 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+3x^40+48x^41+59x^42+140x^43+99x^44+376x^45+205x^46+684x^47+259x^48+1138x^49+379x^50+1358x^51+435x^52+1132x^53+284x^54+764x^55+183x^56+328x^57+71x^58+116x^59+59x^60+112x^61+99x^62+284x^63+410x^64+838x^65+919x^66+2390x^67+2267x^68+4366x^69+4052x^70+6318x^71+4924x^72+6456x^73+4174x^74+4496x^75+2264x^76+2344x^77+924x^78+810x^79+330x^80+262x^81+113x^82+82x^83+95x^84+200x^85+109x^86+308x^87+137x^88+640x^89+306x^90+1212x^91+390x^92+1384x^93+397x^94+1106x^95+306x^96+746x^97+151x^98+362x^99+97x^100+102x^101+37x^102+46x^103+23x^104+8x^105+4x^106+4x^107+6x^108+5x^110 The gray image is a code over GF(2) with n=288, k=16 and d=80. This code was found by Heurico 1.16 in 99.6 seconds.