The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 6 1 1 1 0 1 6 1 1 1 1 0 1 6 1 1 1 6 1 1 1 1 1 0 6 1 1 0 1 1 1 0 6 1 2 1 1 0 1 1 1 2 1 1 4 1 1 2 1 1 1 0 1 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 1 6 5 6 1 3 1 5 0 0 5 1 6 1 3 0 3 1 6 3 5 3 0 1 1 5 6 1 0 5 0 1 1 4 1 5 6 1 3 3 7 0 4 4 4 2 0 0 6 5 3 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 4 0 4 0 4 4 4 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 4 4 4 0 4 4 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 4 4 4 4 0 4 0 4 0 4 4 0 0 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 0 0 4 4 4 4 4 0 4 4 4 4 0 4 4 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4 4 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 0 4 0 0 0 0 4 4 0 4 0 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 4 4 4 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 0 4 0 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 4 4 4 0 4 0 0 0 4 4 0 0 4 4 4 4 0 0 4 0 4 4 0 4 4 4 0 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 4 4 4 4 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 0 4 4 4 4 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 4 4 4 4 4 0 4 0 0 4 0 4 0 0 4 4 0 4 0 4 0 0 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 4 0 4 0 0 0 0 4 0 4 0 0 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+57x^54+22x^55+117x^56+110x^57+188x^58+380x^59+321x^60+944x^61+520x^62+2144x^63+849x^64+3788x^65+1296x^66+4898x^67+1550x^68+4874x^69+1303x^70+3766x^71+850x^72+2246x^73+498x^74+960x^75+266x^76+292x^77+151x^78+116x^79+98x^80+32x^81+60x^82+2x^83+38x^84+2x^85+16x^86+5x^88+6x^90+1x^92+1x^94 The gray image is a code over GF(2) with n=272, k=15 and d=108. This code was found by Heurico 1.16 in 78.4 seconds.