The generator matrix 1 0 1 1 1 0 1 1 0 1 2 1 1 1 4 1 1 0 6 1 4 1 1 1 1 0 1 1 2 1 1 1 1 2 1 0 6 1 1 1 4 1 1 1 1 1 1 1 1 1 1 2 1 1 2 4 0 1 1 0 1 1 0 3 1 0 1 2 3 7 1 2 7 1 1 6 1 6 7 7 6 1 4 3 1 6 1 4 7 1 4 1 1 6 1 0 4 5 6 1 1 7 6 7 1 7 0 4 2 2 4 1 0 0 2 0 0 0 0 0 0 0 0 0 4 4 4 0 2 6 6 6 6 2 4 2 2 4 2 6 6 4 4 4 2 2 0 6 4 2 0 6 2 6 0 2 6 4 6 6 2 2 6 0 0 2 2 0 0 0 0 2 0 0 0 0 2 6 6 4 6 6 6 2 2 6 4 4 6 2 0 2 4 2 6 0 0 2 0 0 4 2 4 0 6 6 2 0 2 4 4 0 0 4 0 6 6 4 6 6 4 6 0 6 0 0 0 0 2 6 6 0 2 2 4 6 2 0 4 0 2 0 2 6 2 4 2 4 6 6 2 6 4 6 4 0 6 0 2 2 0 6 0 4 2 0 6 2 6 2 4 0 2 0 2 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 4 0 0 4 4 0 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 0 4 4 0 4 0 0 4 4 0 0 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 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 4 4 0 0 4 0 0 4 0 4 0 4 0 4 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 generates a code of length 56 over Z8 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+52x^45+150x^46+270x^47+494x^48+632x^49+830x^50+1344x^51+1902x^52+2412x^53+3016x^54+3452x^55+3605x^56+3506x^57+3004x^58+2502x^59+1954x^60+1326x^61+897x^62+540x^63+312x^64+238x^65+148x^66+82x^67+48x^68+26x^69+16x^70+2x^71+2x^72+2x^74+1x^78+1x^80+1x^88 The gray image is a code over GF(2) with n=224, k=15 and d=90. This code was found by Heurico 1.16 in 36.8 seconds.