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 2 4 0 4 0 4 4 1 0 2 2 0 0 2 4 2 1 1 1 1 0 4 4 1 0 1 4 2 1 0 1 1 0 2 2 1 1 0 2 0 0 0 2 6 2 0 0 0 0 2 2 2 6 4 4 4 0 2 6 6 6 6 2 2 0 4 4 6 6 2 4 2 2 4 2 2 4 6 6 2 4 6 0 4 2 4 4 2 4 2 2 6 2 4 4 2 6 4 2 6 4 6 2 0 0 0 0 2 0 2 2 6 0 0 0 2 6 6 6 4 0 4 6 6 4 0 6 6 2 6 0 4 4 2 2 0 2 4 0 2 0 2 4 2 4 4 2 2 0 2 2 2 6 6 2 4 2 4 2 0 0 4 0 0 4 0 2 0 2 0 4 0 0 0 0 0 2 2 0 6 2 0 6 2 4 0 2 6 4 0 6 0 2 4 0 6 6 4 6 6 4 2 4 0 6 2 2 0 0 6 6 6 2 0 6 6 2 6 0 4 0 4 2 2 2 2 4 6 0 6 2 6 0 2 2 2 0 0 6 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 0 4 4 4 4 0 0 4 0 0 4 0 0 4 0 0 0 4 4 4 4 0 4 0 4 4 0 4 4 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 4 0 4 4 0 4 4 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 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 0 0 0 4 0 4 4 4 0 0 4 4 0 4 4 4 0 4 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 0 4 4 4 4 0 0 0 4 4 0 0 4 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 4 4 0 0 0 0 4 0 0 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 0 0 0 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 4 0 0 4 0 0 4 4 0 0 0 0 0 4 0 0 0 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+62x^55+188x^56+252x^57+386x^58+440x^59+637x^60+914x^61+1097x^62+1554x^63+1738x^64+2076x^65+2518x^66+2866x^67+3038x^68+2858x^69+2720x^70+2228x^71+1801x^72+1532x^73+1026x^74+836x^75+625x^76+478x^77+286x^78+186x^79+122x^80+76x^81+98x^82+18x^83+36x^84+6x^85+10x^86+2x^87+5x^88+4x^90+1x^94+1x^96 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 64.5 seconds.