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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 2 1 4 1 4 4 0 1 1 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 4 4 2 6 2 6 2 6 2 6 2 2 6 6 2 6 2 4 4 6 4 6 6 0 0 6 6 6 0 0 2 6 4 0 4 4 0 0 6 0 2 2 0 2 4 6 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 6 6 2 6 6 6 4 4 2 2 0 6 6 2 2 0 0 4 0 2 6 0 6 4 2 6 6 0 0 6 2 6 4 2 4 4 6 0 6 2 4 0 2 4 0 4 2 0 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 4 4 2 6 2 2 0 0 0 6 2 2 6 4 2 6 4 6 4 4 6 0 4 6 6 6 2 0 2 4 6 6 2 6 6 6 6 4 2 4 4 6 4 2 0 0 0 4 0 4 0 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 0 0 6 4 6 0 0 6 6 4 4 0 6 2 4 4 0 6 4 4 6 0 6 6 2 6 4 0 2 6 4 0 6 4 0 0 2 6 4 0 6 6 4 4 0 2 2 0 6 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 4 4 4 2 6 2 6 2 6 2 6 4 2 0 2 2 2 6 6 6 2 2 4 4 2 2 4 0 2 0 6 4 6 4 4 4 2 6 0 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 2 6 4 2 2 4 6 4 4 0 2 4 2 6 2 4 6 2 2 4 0 2 6 2 0 4 6 0 4 6 6 2 2 4 4 6 6 4 6 2 0 2 0 2 2 0 0 0 2 4 4 generates a code of length 66 over Z8 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+54x^53+125x^54+250x^55+360x^56+404x^57+560x^58+590x^59+705x^60+888x^61+1380x^62+1816x^63+2971x^64+4188x^65+4121x^66+4226x^67+3079x^68+1804x^69+1349x^70+894x^71+757x^72+582x^73+513x^74+386x^75+284x^76+182x^77+133x^78+88x^79+35x^80+26x^81+10x^82+6x^83+1x^118 The gray image is a code over GF(2) with n=264, k=15 and d=106. This code was found by Heurico 1.16 in 62.2 seconds.