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 1 1 1 1 1 1 1 1 1 2 1 2 1 2 2 1 1 1 1 1 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 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 4 4 4 4 4 0 4 4 0 4 4 0 4 4 0 4 0 0 0 0 4 0 0 0 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 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 4 0 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 4 4 0 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 0 4 0 0 4 0 4 4 4 0 4 4 0 4 4 0 0 0 4 0 4 0 4 0 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 4 4 0 4 0 0 4 0 0 0 4 0 4 0 4 4 0 4 4 4 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 0 4 0 0 4 0 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 4 4 0 0 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 4 0 0 0 0 0 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 4 0 0 0 0 4 4 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 4 0 0 0 0 0 4 4 4 0 4 4 0 4 4 0 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 0 4 4 4 0 0 4 0 4 0 0 4 0 4 0 0 4 4 0 0 4 0 4 0 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 4 4 4 0 4 0 0 0 0 4 0 4 0 0 0 4 4 0 4 0 4 0 4 0 4 4 4 0 0 0 0 4 0 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+143x^52+387x^56+552x^60+891x^64+1024x^66+10393x^68+1024x^70+899x^72+555x^76+359x^80+132x^84+22x^88+1x^92+1x^128 The gray image is a code over GF(2) with n=272, k=14 and d=104. This code was found by Heurico 1.16 in 22.9 seconds.