The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 1 1 0 6 1 1 1 0 1 6 1 1 1 1 0 1 0 1 6 4 1 1 1 1 6 0 1 1 0 1 1 1 1 6 2 1 1 0 1 1 1 0 1 3 6 1 1 0 3 1 6 5 1 0 3 1 1 6 5 0 1 6 1 3 5 0 6 1 3 1 5 1 1 0 5 3 6 1 1 3 0 1 4 3 0 5 1 1 5 6 1 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 0 0 0 4 0 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 0 0 4 4 0 0 4 4 0 4 4 0 0 4 4 0 4 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 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 0 4 4 0 0 4 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 0 4 0 0 0 0 4 4 4 0 0 0 4 4 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 4 4 0 0 4 4 4 4 0 0 4 4 0 4 0 4 0 0 4 0 0 4 4 0 0 0 4 4 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 4 0 4 4 4 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 0 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 4 0 0 4 0 0 4 0 4 0 0 0 0 4 4 0 4 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 0 0 4 0 4 0 0 4 4 0 4 4 4 0 4 4 0 0 4 0 0 0 0 4 4 0 0 4 4 4 0 0 0 4 0 0 0 generates a code of length 53 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+33x^40+45x^42+34x^43+152x^44+176x^45+142x^46+650x^47+308x^48+1184x^49+568x^50+2900x^51+823x^52+2400x^53+817x^54+2900x^55+545x^56+1184x^57+305x^58+650x^59+134x^60+176x^61+112x^62+34x^63+41x^64+38x^66+11x^68+17x^70+4x^74 The gray image is a code over GF(2) with n=212, k=14 and d=80. This code was found by Heurico 1.16 in 8.5 seconds.