The generator matrix 1 0 1 1 1 6 4 1 1 2 1 1 1 1 0 1 1 0 2 1 2 1 1 1 1 1 0 1 1 2 2 1 1 4 1 6 1 1 1 1 1 0 1 1 1 1 1 1 4 1 1 2 1 1 2 1 1 1 0 4 1 1 4 0 1 2 1 4 4 4 0 1 0 1 1 0 1 1 1 6 7 1 4 3 2 5 1 2 3 1 1 1 1 2 7 0 5 2 1 1 0 1 1 5 4 1 5 1 3 0 7 1 4 1 6 1 3 3 6 0 1 7 2 1 2 6 1 6 5 2 1 1 2 5 1 1 5 1 2 1 1 1 2 5 0 0 2 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 4 0 0 4 4 0 4 0 2 2 6 6 2 6 6 2 2 6 6 2 2 4 2 2 6 4 2 2 0 0 4 6 6 6 0 6 0 4 6 2 4 6 6 2 6 0 2 4 6 4 2 0 4 0 0 0 0 2 0 0 0 0 4 4 4 4 0 4 2 2 2 6 6 2 6 6 2 6 6 6 6 6 0 2 4 4 0 0 4 0 6 6 6 6 4 2 4 0 4 0 6 2 6 6 2 0 0 6 4 4 2 2 6 0 0 0 6 6 0 0 2 4 0 2 4 0 0 0 0 0 2 0 6 4 2 2 6 0 6 4 2 2 2 4 2 4 0 4 4 2 6 2 0 0 6 6 0 6 4 2 4 0 0 0 2 2 0 4 2 6 4 2 0 4 0 2 6 2 0 6 2 4 2 2 0 4 4 6 6 0 2 0 2 6 4 2 6 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 0 0 0 4 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 0 0 0 4 0 4 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 0 0 4 4 0 0 4 generates a code of length 72 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+228x^64+120x^65+470x^66+304x^67+670x^68+512x^69+908x^70+620x^71+822x^72+596x^73+771x^74+456x^75+599x^76+360x^77+321x^78+92x^79+147x^80+12x^81+91x^82+46x^84+27x^86+12x^88+4x^90+1x^92+2x^96 The gray image is a code over GF(2) with n=288, k=13 and d=128. This code was found by Heurico 1.16 in 54.4 seconds.