The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 2 1 1 0 1 1 2 1 0 1 1 2 1 0 1 2 1 1 0 2 1 0 2 1 1 1 1 1 1 0 2 1 2 0 2 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 2 6 6 0 6 2 0 6 6 0 2 6 0 6 6 2 6 6 6 2 2 6 0 2 6 2 2 6 4 0 2 2 4 2 6 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 0 4 4 0 4 4 4 4 4 4 0 0 4 4 0 4 4 0 0 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 4 4 0 4 4 0 4 0 0 4 4 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 0 4 0 4 0 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 0 0 4 4 4 4 0 4 0 4 4 0 0 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 0 4 0 4 0 4 4 0 4 4 4 4 0 4 0 4 4 0 0 0 4 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 4 4 0 0 0 0 4 4 0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 0 4 0 0 0 0 4 0 4 4 0 4 4 0 0 4 0 4 4 0 4 0 4 4 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 0 0 0 4 4 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 0 4 4 4 0 4 4 4 0 4 4 0 4 0 4 0 4 4 4 generates a code of length 56 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+97x^40+12x^42+379x^44+192x^46+1092x^48+1396x^50+3973x^52+5576x^54+7344x^56+5556x^58+4017x^60+1392x^62+1067x^64+204x^66+339x^68+8x^70+91x^72+28x^76+4x^80 The gray image is a code over GF(2) with n=224, k=15 and d=80. This code was found by Heurico 1.16 in 50.4 seconds.