The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 4 2 1 1 1 1 1 1 4 2 1 4 4 1 1 1 1 0 0 1 2 4 1 2 4 1 2 1 1 2 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 4 3 1 2 7 1 1 2 7 1 4 6 2 1 1 6 2 1 5 6 1 4 2 1 3 1 1 4 4 2 7 4 6 3 2 7 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 4 0 6 6 4 6 4 2 6 4 4 6 6 2 4 2 2 6 6 6 6 4 0 6 2 6 6 0 0 0 4 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 6 6 2 2 6 2 4 4 6 4 4 6 4 4 6 6 2 6 0 6 6 6 0 0 2 0 2 0 4 2 0 6 0 6 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 6 2 2 0 2 4 0 4 4 2 2 0 4 6 0 0 2 6 6 6 6 4 4 0 4 4 4 4 2 2 4 4 6 2 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 6 2 0 4 2 0 4 0 6 2 6 4 6 4 6 2 0 2 0 0 2 2 6 2 4 0 4 0 6 0 0 6 2 2 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 0 4 4 4 0 0 4 0 0 0 4 0 4 4 0 0 4 4 4 4 4 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 4 0 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 4 0 4 4 0 0 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 generates a code of length 53 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+21x^34+42x^35+79x^36+132x^37+175x^38+218x^39+374x^40+504x^41+664x^42+886x^43+1039x^44+1308x^45+1165x^46+2124x^47+1874x^48+4158x^49+2969x^50+6978x^51+4013x^52+8184x^53+3920x^54+7044x^55+2829x^56+4240x^57+1840x^58+2066x^59+1269x^60+1350x^61+1047x^62+812x^63+612x^64+494x^65+420x^66+268x^67+172x^68+96x^69+59x^70+42x^71+21x^72+12x^73+6x^74+4x^76+2x^77+2x^78+1x^80 The gray image is a code over GF(2) with n=212, k=16 and d=68. This code was found by Heurico 1.16 in 99.9 seconds.