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 1 1 1 1 1 1 1 1 1 1 1 1 0 2 4 4 2 4 0 2 0 2 0 0 6 6 0 0 2 2 0 0 6 6 4 4 2 6 4 4 6 2 4 4 2 6 4 4 6 2 0 4 2 6 0 4 2 6 0 0 2 2 0 2 4 6 2 2 2 2 2 2 0 0 2 2 0 6 6 0 4 6 6 4 4 2 2 4 4 2 2 0 4 2 6 4 0 6 6 4 0 6 2 0 0 2 2 0 0 2 2 0 4 6 0 6 2 4 0 2 4 6 2 4 2 2 0 0 0 4 4 4 0 4 4 0 4 0 0 4 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 0 4 0 0 4 4 4 generates a code of length 54 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+106x^52+64x^54+70x^56+14x^60+1x^96 The gray image is a code over GF(2) with n=216, k=8 and d=104. This code was found by Heurico 1.16 in 1.21 seconds.