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 2 2 2 4 2 0 4 2 2 2 2 2 4 1 2 1 1 2 1 2 1 2 1 4 2 1 1 2 1 0 2 1 0 2 0 0 0 0 0 0 0 2 2 6 6 6 0 2 6 0 4 6 6 4 6 2 2 4 2 0 0 2 4 0 6 6 2 4 2 4 2 4 2 0 2 4 4 2 0 0 6 6 2 6 0 2 6 0 2 0 2 6 2 0 2 2 0 6 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 0 0 0 4 2 6 2 0 6 4 2 6 4 6 0 2 2 2 4 0 2 0 6 2 2 0 2 2 6 4 2 6 6 0 0 6 6 4 2 0 0 4 4 2 0 2 2 6 2 2 4 6 0 0 0 0 2 0 2 2 6 0 0 2 2 0 2 0 4 6 6 2 0 6 6 0 4 4 0 4 0 2 0 4 6 0 6 2 6 6 6 4 2 2 6 4 4 2 2 0 4 2 6 6 0 0 2 2 0 6 0 4 0 6 6 2 2 2 6 4 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 6 0 6 6 0 2 0 2 6 4 2 0 0 0 2 6 0 4 2 2 2 2 6 4 4 0 4 0 2 2 0 4 2 0 2 4 6 6 4 0 6 6 0 6 0 0 0 2 6 0 0 4 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 0 4 0 0 0 0 4 0 0 4 0 0 4 4 4 4 0 4 0 4 4 0 0 4 0 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 0 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 4 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 0 0 4 0 4 0 0 4 4 0 0 4 0 0 4 0 0 4 0 4 0 4 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 0 0 0 4 0 0 4 4 4 4 4 4 4 4 4 0 0 0 4 4 0 0 4 4 0 0 4 4 0 4 4 0 0 0 4 0 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 0 4 0 generates a code of length 67 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+100x^54+106x^55+274x^56+364x^57+472x^58+618x^59+886x^60+1102x^61+1362x^62+1832x^63+2070x^64+2646x^65+3260x^66+3028x^67+2449x^68+2692x^69+2431x^70+1846x^71+1474x^72+1100x^73+815x^74+622x^75+443x^76+250x^77+216x^78+136x^79+67x^80+34x^81+42x^82+4x^83+13x^84+4x^85+3x^86+2x^88+3x^90+1x^108 The gray image is a code over GF(2) with n=268, k=15 and d=108. This code was found by Heurico 1.16 in 64.1 seconds.