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 1 0 2 0 2 2 0 2 0 1 1 1 0 1 0 0 2 0 1 0 1 1 1 1 1 1 4 1 4 2 0 2 0 0 0 2 6 2 0 0 0 2 4 6 2 4 6 6 2 0 2 4 4 0 2 0 6 0 6 4 2 2 2 2 2 2 6 4 0 0 2 0 6 4 2 2 6 2 6 4 4 0 2 4 2 0 0 0 2 0 2 2 6 0 0 0 2 4 2 6 2 0 0 0 2 2 0 4 6 6 4 2 2 4 4 2 6 6 6 0 6 6 0 6 0 6 4 2 4 2 6 6 0 4 2 6 4 0 4 6 2 0 0 0 0 2 2 0 6 2 0 6 2 6 4 2 4 2 4 6 0 2 4 4 0 2 2 2 2 2 0 4 4 4 6 2 2 2 2 4 2 2 0 4 2 4 0 6 4 0 0 0 0 0 2 6 0 6 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 0 0 4 0 0 4 0 4 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0 4 0 0 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 0 4 0 0 4 0 4 4 4 4 4 0 4 0 4 4 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 0 4 4 0 0 0 4 4 0 4 4 0 0 4 0 0 0 4 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 0 4 4 0 4 0 4 0 4 4 0 0 0 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 4 0 0 0 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 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 4 generates a code of length 56 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+212x^44+488x^46+16x^47+1071x^48+132x^49+1554x^50+596x^51+2808x^52+1376x^53+3686x^54+1952x^55+4691x^56+1992x^57+4026x^58+1416x^59+2826x^60+576x^61+1596x^62+112x^63+975x^64+20x^65+382x^66+4x^67+180x^68+38x^70+28x^72+6x^74+6x^76+1x^80+1x^88 The gray image is a code over GF(2) with n=224, k=15 and d=88. This code was found by Heurico 1.16 in 50 seconds.