The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 0 1 1 2 0 1 1 2 0 1 2 1 1 0 1 2 1 1 0 1 1 1 2 1 2 1 1 1 4 2 2 1 0 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 2 0 6 6 2 6 0 6 2 6 0 6 2 2 6 0 4 2 6 6 4 2 2 2 4 4 6 2 6 4 2 0 4 4 6 4 2 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 0 4 4 0 4 0 4 0 0 0 0 4 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 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 0 0 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 4 4 4 4 4 0 0 4 0 4 0 0 4 4 4 0 0 4 0 4 0 0 4 4 0 0 4 0 0 4 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 4 0 0 0 0 0 4 4 4 0 4 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 4 4 0 0 4 0 4 4 4 0 4 0 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 0 0 4 4 0 0 4 4 0 0 4 4 0 4 4 0 0 4 0 4 0 4 0 4 4 0 0 0 0 4 0 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 0 4 4 0 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 4 4 0 4 4 4 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 4 4 4 4 0 4 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 0 4 4 0 4 4 4 4 0 4 4 0 0 0 0 0 4 generates a code of length 57 over Z8 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+69x^42+194x^44+347x^46+586x^48+32x^49+1143x^50+256x^51+2168x^52+896x^53+3406x^54+1792x^55+4353x^56+2240x^57+4371x^58+1792x^59+3419x^60+896x^61+2187x^62+256x^63+1212x^64+32x^65+595x^66+283x^68+133x^70+51x^72+28x^74+15x^76+6x^78+5x^80+2x^82+1x^84+1x^86 The gray image is a code over GF(2) with n=228, k=15 and d=84. This code was found by Heurico 1.16 in 64 seconds.