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 2 1 2 2 1 2 4 1 2 0 2 1 1 2 2 0 1 2 0 1 2 0 2 0 1 1 1 0 1 1 1 0 2 0 0 0 0 0 0 0 2 6 6 6 2 6 2 2 4 6 4 2 0 2 0 4 0 0 2 4 6 0 2 4 2 2 6 0 2 2 4 2 6 0 2 6 2 0 4 2 4 2 6 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 4 0 6 2 4 6 6 4 0 0 6 6 4 2 2 4 6 2 4 4 6 0 4 4 0 0 6 6 2 2 0 0 4 2 2 2 4 6 0 0 0 0 2 0 2 2 6 0 0 0 4 2 2 2 2 4 4 2 4 2 4 6 2 0 2 6 2 6 4 0 6 6 2 6 0 6 2 4 0 4 0 6 2 2 6 4 6 0 6 6 4 0 0 0 0 0 2 2 0 6 2 0 2 2 4 6 6 4 4 4 6 6 4 0 0 2 2 6 0 2 4 0 4 0 4 2 0 6 2 6 6 2 2 2 6 6 4 0 6 0 0 2 4 2 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 0 0 4 0 0 4 4 4 0 4 4 0 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 0 4 4 0 0 4 0 0 0 0 4 4 0 0 4 4 4 0 0 4 0 4 4 4 0 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 4 4 0 4 0 4 4 4 0 0 4 4 0 0 0 4 4 0 0 4 4 0 0 4 0 0 4 0 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 4 0 generates a code of length 53 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+28x^40+64x^41+171x^42+290x^43+389x^44+496x^45+693x^46+984x^47+1421x^48+1832x^49+2344x^50+2724x^51+3123x^52+3450x^53+3127x^54+2934x^55+2428x^56+1836x^57+1452x^58+1030x^59+647x^60+432x^61+351x^62+192x^63+134x^64+76x^65+48x^66+36x^67+17x^68+6x^69+5x^70+2x^71+3x^72+1x^74+1x^88 The gray image is a code over GF(2) with n=212, k=15 and d=80. This code was found by Heurico 1.16 in 44.3 seconds.