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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 4 2 4 2 2 2 2 1 0 2 2 0 1 0 0 0 2 0 0 0 0 0 0 0 2 6 2 2 6 6 2 2 2 4 6 4 4 0 4 0 4 6 0 6 6 0 4 4 0 2 6 6 2 2 2 4 0 6 4 6 4 4 4 2 2 0 0 2 2 0 0 2 0 0 0 2 6 2 0 0 4 2 2 2 6 0 0 2 0 4 0 6 4 6 6 4 0 4 2 0 6 0 6 2 2 2 0 4 6 0 4 6 2 0 2 0 4 4 6 2 4 4 4 0 0 0 2 0 2 2 6 0 2 2 0 4 4 6 6 6 2 2 0 0 4 4 6 0 2 6 6 4 4 6 0 6 4 6 6 0 6 2 0 6 2 6 4 2 2 0 2 6 0 4 4 4 0 0 0 0 0 2 2 0 6 2 4 6 6 4 2 4 2 0 2 0 2 6 4 4 4 6 6 0 2 4 6 6 6 4 0 6 4 2 2 0 0 6 0 4 0 0 6 0 4 2 0 2 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 0 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 4 0 0 0 0 4 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+243x^44+4x^45+544x^46+36x^47+937x^48+284x^49+1366x^50+700x^51+1879x^52+996x^53+2324x^54+1060x^55+2063x^56+724x^57+1256x^58+244x^59+907x^60+40x^61+444x^62+8x^63+214x^64+82x^66+25x^68+1x^72+2x^76 The gray image is a code over GF(2) with n=216, k=14 and d=88. This code was found by Heurico 1.16 in 18.4 seconds.