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 2 0 2 0 1 1 1 2 0 2 0 1 2 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 2 2 2 1 1 0 1 1 0 1 4 0 1 2 1 0 2 0 6 0 6 0 6 0 6 0 6 6 4 0 6 2 4 6 0 6 0 4 2 6 2 6 2 6 0 4 6 2 6 2 6 6 0 2 2 0 6 2 4 2 4 6 4 6 2 2 6 4 6 6 4 4 2 2 4 4 2 0 4 2 0 0 6 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 0 4 0 4 4 0 0 4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 0 4 0 0 0 0 4 4 4 4 0 0 4 4 0 0 4 0 4 0 4 4 4 0 4 0 0 4 4 0 4 4 4 0 4 0 4 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 0 4 4 4 0 0 4 4 4 0 0 0 0 4 4 4 0 4 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 0 4 4 0 0 4 0 0 4 4 4 0 4 4 0 0 0 4 0 0 0 4 4 0 4 4 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 4 0 0 4 0 4 0 0 4 0 4 4 4 4 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 4 0 4 4 0 4 4 4 4 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 4 4 4 0 0 0 4 0 0 4 4 0 0 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 4 0 4 4 0 4 0 0 4 4 0 4 0 4 4 0 4 4 4 4 0 0 0 4 4 0 4 0 0 4 4 0 4 0 0 4 4 4 4 4 0 0 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 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 0 0 4 4 4 0 0 0 0 4 0 4 0 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 0 4 4 4 4 0 4 0 0 4 4 0 4 4 4 4 4 4 0 4 0 4 4 0 0 4 4 4 0 4 4 4 4 4 0 0 0 4 0 4 4 0 4 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+76x^54+156x^56+4x^57+240x^58+12x^59+520x^60+124x^61+838x^62+340x^63+1296x^64+616x^65+1948x^66+952x^67+2209x^68+952x^69+1951x^70+616x^71+1342x^72+340x^73+727x^74+124x^75+442x^76+12x^77+268x^78+4x^79+127x^80+74x^82+45x^84+19x^86+4x^88+3x^90+2x^96 The gray image is a code over GF(2) with n=272, k=14 and d=108. This code was found by Heurico 1.16 in 23 seconds.