The generator matrix 1 0 0 0 1 1 1 1 4 1 1 0 6 1 0 1 2 6 1 2 1 1 1 4 0 1 1 0 2 4 0 1 1 1 4 1 1 2 6 2 1 4 1 1 0 6 0 1 1 1 1 1 2 1 2 6 1 1 2 4 6 1 2 1 0 1 0 0 0 0 1 3 1 5 4 1 1 7 2 6 1 6 6 1 7 7 0 6 2 4 5 1 6 1 1 4 5 0 1 2 0 4 1 4 5 4 7 1 0 1 1 7 2 2 2 3 0 1 1 0 4 4 1 1 1 1 4 5 0 0 1 0 0 1 0 3 3 5 7 2 7 4 1 6 2 4 1 6 2 3 4 1 1 5 0 3 1 3 1 2 5 5 0 0 3 1 2 1 3 0 0 6 1 0 6 6 5 7 2 2 1 4 1 4 2 2 1 4 3 7 2 3 0 0 0 1 1 3 7 5 6 4 4 5 3 0 5 6 0 1 7 1 3 2 3 3 6 6 4 4 7 2 3 3 5 4 6 0 1 0 2 5 3 1 5 6 0 1 5 7 1 5 2 4 5 2 1 1 5 3 2 4 2 4 1 7 0 0 0 0 2 2 2 2 0 2 2 0 4 2 0 2 4 4 2 4 2 2 2 4 4 6 6 4 0 4 6 4 4 4 6 4 4 2 0 2 0 6 0 4 2 2 6 0 0 0 4 6 2 6 6 0 4 6 2 4 6 0 6 6 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 4 4 4 0 0 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 4 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+206x^55+573x^56+876x^57+1306x^58+1696x^59+2039x^60+2356x^61+2798x^62+3002x^63+3049x^64+3170x^65+2807x^66+2478x^67+2001x^68+1584x^69+1179x^70+692x^71+440x^72+244x^73+155x^74+50x^75+20x^76+20x^77+11x^78+4x^79+5x^80+6x^81 The gray image is a code over GF(2) with n=256, k=15 and d=110. This code was found by Heurico 1.16 in 33.3 seconds.