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 1 2 0 2 2 0 0 1 1 1 1 1 2 0 1 1 2 2 0 1 1 1 1 1 1 4 4 1 1 2 2 0 2 0 6 0 6 0 6 0 6 4 6 0 6 0 4 6 2 0 0 6 2 4 6 2 6 6 2 2 2 0 6 0 0 6 2 6 6 6 6 2 0 4 6 6 4 0 4 4 4 6 6 6 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 0 4 0 4 0 4 4 0 0 4 0 4 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 0 0 4 4 0 0 4 4 4 0 4 0 0 4 0 4 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 4 0 0 4 0 4 0 0 4 4 0 4 4 0 4 4 4 0 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 4 4 0 4 0 4 4 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 4 4 0 0 4 4 0 0 4 4 4 4 4 0 0 4 4 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 0 0 0 4 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 0 4 0 4 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 4 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 4 4 generates a code of length 53 over Z8 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+54x^42+38x^43+112x^44+112x^45+159x^46+292x^47+304x^48+478x^49+601x^50+684x^51+850x^52+864x^53+837x^54+712x^55+593x^56+492x^57+271x^58+286x^59+129x^60+96x^61+89x^62+36x^63+41x^64+6x^65+31x^66+12x^68+3x^70+5x^72+3x^74+1x^76 The gray image is a code over GF(2) with n=212, k=13 and d=84. This code was found by Heurico 1.16 in 97.4 seconds.