The generator matrix 1 0 0 1 1 1 2 0 1 1 0 1 1 2 1 4 1 4 1 0 1 1 0 4 1 1 1 6 6 1 4 1 2 1 1 1 1 1 0 2 2 1 1 1 6 1 4 2 1 1 1 1 1 1 1 1 0 1 0 1 2 3 1 0 0 5 1 2 7 1 7 2 2 1 0 1 0 7 1 1 5 5 1 2 1 4 1 3 2 5 0 7 7 4 1 0 1 1 6 5 6 6 2 6 7 4 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 3 2 3 2 3 1 1 0 0 3 1 1 0 0 5 3 5 2 1 5 6 6 1 1 2 7 3 6 5 4 4 2 6 3 3 1 5 6 4 5 6 2 0 0 0 0 0 0 0 0 2 0 6 0 6 2 0 2 2 0 2 4 0 2 2 0 6 6 2 4 4 0 6 0 6 6 4 6 6 6 6 0 6 2 6 6 6 4 4 0 6 6 4 2 6 0 2 2 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4 0 4 0 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 4 0 4 0 4 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 4 4 0 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 4 0 0 0 4 4 4 0 0 0 4 0 4 0 4 0 0 4 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+40x^40+16x^41+144x^42+112x^43+284x^44+400x^45+607x^46+962x^47+1178x^48+1868x^49+1940x^50+2928x^51+3657x^52+4390x^53+5376x^54+5766x^55+6257x^56+5688x^57+5522x^58+4320x^59+3508x^60+2988x^61+2063x^62+1822x^63+1156x^64+924x^65+572x^66+448x^67+253x^68+110x^69+134x^70+26x^71+47x^72+22x^74+2x^76+4x^78+1x^80 The gray image is a code over GF(2) with n=224, k=16 and d=80. This code was found by Heurico 1.16 in 99.2 seconds.