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 0 2 4 4 1 2 1 2 2 4 2 1 1 2 1 2 1 2 1 1 4 1 1 1 2 1 1 1 4 1 2 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 4 2 2 4 0 2 6 6 6 4 2 6 4 0 0 2 4 0 2 2 2 2 4 6 0 2 4 0 4 6 4 2 0 6 2 4 6 6 4 0 6 2 6 2 2 2 2 6 4 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 2 2 0 6 0 6 0 2 4 4 4 6 6 0 6 4 2 0 2 6 0 6 0 4 6 4 2 2 0 2 6 0 0 2 2 0 4 0 4 4 2 6 0 2 0 4 0 0 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 4 0 0 2 2 6 6 0 4 4 4 2 2 4 0 0 6 2 4 4 4 6 0 4 6 0 6 6 4 2 4 2 2 0 6 4 2 0 2 6 4 6 4 0 0 0 2 0 2 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 4 4 0 0 4 4 0 4 4 0 4 4 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 4 0 4 4 4 4 0 4 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 0 0 0 4 4 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 4 0 0 4 4 4 0 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+120x^54+8x^55+319x^56+32x^57+503x^58+136x^59+713x^60+320x^61+946x^62+504x^63+1093x^64+544x^65+911x^66+344x^67+621x^68+128x^69+408x^70+32x^71+271x^72+159x^74+49x^76+20x^78+3x^80+3x^82+1x^84+2x^86+1x^96 The gray image is a code over GF(2) with n=256, k=13 and d=108. This code was found by Heurico 1.16 in 4.44 seconds.