The generator matrix 1 0 0 0 1 1 1 6 1 1 4 0 1 1 6 1 1 4 1 1 1 6 0 1 4 0 6 1 0 1 1 1 1 6 1 4 1 4 1 1 1 6 1 6 1 1 6 1 1 1 2 1 4 1 1 1 1 0 1 0 0 2 1 3 1 2 2 1 1 1 5 0 4 3 6 3 4 0 2 1 5 1 1 1 4 1 7 3 7 2 1 3 6 6 1 1 4 7 1 4 6 6 0 6 6 5 7 4 4 1 2 0 0 0 0 0 1 0 3 1 6 3 0 1 2 1 1 0 1 1 5 6 0 3 6 1 5 6 0 3 4 0 6 7 7 0 2 2 6 1 3 7 6 0 7 7 4 1 7 1 1 4 7 6 1 6 5 4 0 0 0 0 0 0 1 1 6 3 3 1 0 3 2 3 0 3 0 0 1 3 3 7 2 4 6 5 7 4 6 5 0 5 1 6 3 4 3 0 6 3 3 0 1 5 0 3 2 2 0 2 3 3 7 2 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 0 4 4 0 4 0 0 4 4 4 4 0 0 4 0 0 4 0 4 0 0 0 4 4 0 4 0 4 0 4 4 0 4 4 0 4 0 4 0 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 0 0 4 4 0 4 0 4 0 4 4 0 4 4 0 4 4 4 0 0 0 0 4 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 4 0 4 0 4 0 4 4 0 4 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 4 0 4 4 0 0 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 0 0 0 0 0 generates a code of length 57 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+47x^44+116x^45+200x^46+376x^47+588x^48+1070x^49+1406x^50+2188x^51+2789x^52+4398x^53+4575x^54+5788x^55+5670x^56+6794x^57+6002x^58+6156x^59+4442x^60+4156x^61+2765x^62+2258x^63+1363x^64+1020x^65+599x^66+350x^67+185x^68+104x^69+65x^70+34x^71+18x^72+4x^73+2x^75+1x^76+2x^77+3x^78+1x^82 The gray image is a code over GF(2) with n=228, k=16 and d=88. This code was found by Heurico 1.16 in 99.7 seconds.