The generator matrix 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 2 4 0 0 0 0 2 2 1 2 0 1 1 0 4 4 1 4 2 0 2 1 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 2 6 6 6 2 2 2 2 6 2 2 2 6 2 6 2 0 4 6 2 0 6 2 6 4 4 6 2 0 0 4 0 2 4 2 0 6 4 4 4 4 2 2 2 0 4 0 0 0 6 4 4 2 2 6 4 2 2 4 0 6 2 4 0 4 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 6 6 2 6 6 6 6 6 4 4 0 6 4 0 6 2 0 0 2 0 6 0 6 6 4 4 0 4 6 6 4 4 0 6 2 0 2 6 6 0 4 4 4 4 2 4 6 2 2 0 4 2 2 2 0 2 6 0 4 4 6 0 2 4 6 4 2 6 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 4 4 2 6 2 2 0 0 2 4 4 2 6 2 0 4 4 2 6 4 2 0 4 6 2 4 2 0 6 2 4 6 0 6 2 0 0 2 6 2 2 6 4 6 0 0 2 2 2 0 2 0 2 4 6 6 2 0 4 6 4 2 6 2 6 2 4 4 2 4 0 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 0 0 6 4 6 0 0 6 2 4 4 2 2 6 6 2 2 4 4 4 0 0 4 0 6 6 6 0 2 0 2 2 6 0 4 2 4 0 6 2 0 0 2 0 4 0 4 6 6 4 2 0 0 2 6 2 4 6 6 2 6 0 2 4 0 0 4 2 2 6 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 4 4 6 2 6 6 6 4 2 2 2 6 2 2 0 6 6 4 2 4 2 4 0 2 6 4 4 2 4 4 2 2 6 6 4 6 6 0 2 2 4 6 0 2 6 0 4 4 4 4 6 0 6 0 2 0 0 2 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 2 6 4 2 2 4 6 4 6 2 6 4 6 4 0 2 6 6 4 0 4 6 6 6 2 4 6 6 6 4 6 0 0 6 6 4 4 4 2 6 4 2 4 2 6 6 0 2 2 4 2 2 2 4 6 4 0 2 6 6 6 2 2 0 0 0 2 2 0 0 6 generates a code of length 86 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+91x^72+126x^73+230x^74+340x^75+467x^76+538x^77+632x^78+868x^79+986x^80+1356x^81+1747x^82+2200x^83+2470x^84+2750x^85+3023x^86+2924x^87+2712x^88+2164x^89+1699x^90+1376x^91+960x^92+692x^93+621x^94+508x^95+370x^96+294x^97+196x^98+156x^99+123x^100+68x^101+39x^102+12x^103+12x^104+12x^105+4x^106+1x^134 The gray image is a code over GF(2) with n=344, k=15 and d=144. This code was found by Heurico 1.16 in 90.2 seconds.