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 2 4 1 4 0 2 0 1 2 0 1 2 1 1 2 1 0 2 1 0 1 2 2 1 1 1 1 1 2 0 2 0 0 0 0 0 0 0 2 2 6 4 6 2 6 2 2 4 2 0 6 0 2 6 2 0 6 4 6 4 4 4 6 2 2 6 4 6 2 2 2 4 4 0 2 2 0 0 0 2 6 6 2 4 2 6 0 2 4 0 2 0 6 4 6 2 6 0 0 2 0 0 0 2 6 2 2 2 4 0 2 4 2 0 2 4 6 2 4 4 6 4 0 6 6 6 0 4 2 2 4 4 6 2 0 4 6 6 2 4 2 6 6 2 4 2 4 2 0 6 0 4 2 4 2 0 2 6 6 4 2 4 0 2 0 0 0 0 2 0 2 2 6 0 0 2 2 4 0 0 2 6 0 2 6 4 4 2 4 2 4 4 4 6 4 2 4 2 2 0 2 2 4 6 2 0 0 2 4 4 2 6 2 2 4 4 2 2 2 0 6 0 6 0 6 4 6 0 0 6 0 2 2 0 0 0 0 2 2 0 6 2 0 2 2 4 2 6 4 4 4 2 2 0 6 4 6 6 0 6 4 0 4 4 0 2 2 2 2 4 6 4 2 4 6 6 4 0 0 0 0 2 6 4 4 2 0 0 4 4 4 2 4 2 2 2 4 6 4 6 2 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 0 0 0 0 4 4 0 4 0 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 4 0 4 4 4 4 4 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 0 4 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 0 0 0 4 4 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 0 0 4 4 4 4 0 4 0 0 0 0 4 0 4 0 4 0 0 0 4 4 0 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 0 4 0 0 4 0 4 4 0 0 4 4 4 4 0 0 0 4 0 0 0 0 4 4 0 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+76x^55+160x^56+258x^57+336x^58+454x^59+559x^60+716x^61+939x^62+1336x^63+1695x^64+2156x^65+2814x^66+3232x^67+3428x^68+3044x^69+2833x^70+2320x^71+1684x^72+1278x^73+936x^74+794x^75+477x^76+424x^77+273x^78+204x^79+154x^80+52x^81+58x^82+32x^83+30x^84+8x^85+3x^86+1x^88+2x^92+1x^104 The gray image is a code over GF(2) with n=272, k=15 and d=110. This code was found by Heurico 1.16 in 65.1 seconds.