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 2 2 2 1 2 0 4 1 0 2 2 4 1 1 2 2 1 4 0 1 1 2 1 1 2 1 1 1 2 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 6 4 4 6 2 2 2 2 0 4 4 6 0 0 2 2 2 6 0 6 2 2 0 2 4 0 6 2 2 2 4 6 4 2 2 6 4 0 2 2 0 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 0 4 2 0 4 2 6 2 0 6 2 0 6 0 2 0 6 4 2 4 6 2 2 6 2 6 2 6 0 0 4 6 2 6 2 4 6 6 2 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 0 4 0 0 0 4 4 4 0 0 4 0 0 0 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 4 4 0 0 4 0 0 0 4 0 0 4 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 4 0 4 4 4 4 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 0 0 4 4 4 4 4 0 4 0 0 0 4 0 0 4 4 4 4 4 0 4 0 0 4 4 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 4 0 0 4 0 4 4 0 4 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 4 0 0 4 4 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 0 4 0 0 0 4 0 4 0 4 0 4 0 4 0 4 0 0 0 4 4 0 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 4 0 4 4 4 0 0 0 4 0 4 0 4 0 0 0 4 4 0 0 0 4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 generates a code of length 56 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+69x^44+40x^45+128x^46+156x^47+269x^48+428x^49+482x^50+752x^51+851x^52+1092x^53+1392x^54+1572x^55+1766x^56+1648x^57+1511x^58+1208x^59+864x^60+744x^61+411x^62+348x^63+216x^64+132x^65+128x^66+56x^67+55x^68+12x^69+30x^70+4x^71+4x^72+7x^74+1x^76+7x^78 The gray image is a code over GF(2) with n=224, k=14 and d=88. This code was found by Heurico 1.16 in 13.7 seconds.