The generator matrix 1 0 0 1 1 1 6 1 1 4 4 6 1 1 1 6 0 1 0 1 1 1 1 6 1 2 4 1 2 1 1 2 0 1 1 1 1 1 1 1 2 1 6 1 4 0 0 4 1 1 1 1 1 1 0 1 0 1 0 1 1 2 1 0 1 1 1 2 1 1 1 0 1 6 3 0 4 2 4 1 1 6 1 6 7 2 6 4 6 4 7 2 6 3 4 2 2 5 2 1 4 0 2 4 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 2 0 4 3 4 4 5 3 1 7 1 5 5 2 7 1 0 2 0 1 3 2 0 1 6 3 1 2 1 1 0 1 3 1 1 5 4 0 0 0 0 0 0 0 2 0 0 0 0 6 4 4 4 0 6 2 6 6 2 2 4 0 2 2 6 6 0 6 0 6 6 6 0 4 6 4 0 2 0 0 0 2 2 2 0 4 4 0 6 4 0 0 0 0 0 0 0 0 0 2 0 0 2 6 4 2 6 2 2 2 2 2 0 0 4 6 0 6 4 6 0 6 4 6 0 4 6 6 2 2 6 2 2 0 6 0 0 6 2 4 6 2 2 2 0 0 0 0 0 0 0 0 0 0 2 6 2 0 2 2 2 4 0 2 4 4 4 4 6 2 6 0 0 2 4 2 4 2 6 4 0 4 4 6 2 6 0 6 0 6 6 2 2 2 2 6 6 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 4 0 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 0 0 4 4 0 4 0 4 0 4 0 0 0 4 4 0 4 0 4 4 0 0 0 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+24x^39+53x^40+102x^41+171x^42+296x^43+501x^44+736x^45+1025x^46+1446x^47+2153x^48+2958x^49+3784x^50+4492x^51+5315x^52+6292x^53+6525x^54+6284x^55+5732x^56+4706x^57+3698x^58+2916x^59+2103x^60+1376x^61+991x^62+666x^63+464x^64+314x^65+161x^66+120x^67+57x^68+28x^69+27x^70+12x^71+5x^72+1x^74+1x^82 The gray image is a code over GF(2) with n=216, k=16 and d=78. This code was found by Heurico 1.16 in 97.7 seconds.