The generator matrix 1 0 0 0 1 1 1 1 2 1 1 1 6 2 1 1 1 0 1 4 4 6 0 2 1 6 4 4 1 1 1 1 1 1 1 1 4 0 1 0 4 1 1 4 4 1 2 4 1 2 4 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 2 0 3 1 1 1 0 1 0 6 2 5 1 7 6 1 4 4 1 6 2 1 1 1 0 5 0 2 6 2 6 1 2 3 6 0 1 3 1 1 3 1 1 3 0 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 2 1 1 2 3 3 1 5 6 6 3 6 0 0 1 1 3 6 1 6 3 7 7 0 2 2 6 0 2 3 2 4 1 2 7 2 6 0 1 4 5 4 0 1 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 0 2 3 0 3 1 2 3 2 0 4 1 3 1 5 3 2 0 3 4 2 5 6 7 7 0 2 6 6 6 3 1 7 7 1 0 1 1 1 6 6 5 5 2 7 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 6 0 0 4 0 6 6 6 4 4 2 0 2 0 6 0 4 6 6 2 6 4 0 4 6 0 6 2 4 2 6 6 4 6 4 2 6 4 6 6 2 2 0 4 2 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 4 0 4 4 0 4 0 0 0 4 4 0 4 0 0 4 4 4 0 0 0 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 4 4 0 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 4 0 4 4 0 4 0 0 4 4 4 4 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+22x^43+71x^44+84x^45+213x^46+256x^47+487x^48+416x^49+669x^50+632x^51+902x^52+658x^53+934x^54+700x^55+687x^56+422x^57+537x^58+512x^59+618x^60+818x^61+1580x^62+1928x^63+3375x^64+3378x^65+5320x^66+4444x^67+6167x^68+4626x^69+5189x^70+3370x^71+3342x^72+1868x^73+1651x^74+880x^75+657x^76+420x^77+486x^78+494x^79+673x^80+658x^81+981x^82+716x^83+904x^84+604x^85+670x^86+414x^87+474x^88+214x^89+184x^90+90x^91+69x^92+38x^93+12x^94+6x^95+5x^96+4x^97+5x^98+1x^106 The gray image is a code over GF(2) with n=272, k=16 and d=86. This code was found by Heurico 1.16 in 98.2 seconds.