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 2 2 2 2 1 2 0 2 0 1 4 2 4 1 1 4 1 2 4 1 2 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 6 4 4 6 6 6 6 2 6 6 2 6 4 2 6 2 6 0 4 4 4 4 0 6 0 6 2 4 6 4 0 0 6 4 6 6 4 4 0 6 0 6 4 2 4 2 0 0 0 6 0 0 2 4 0 0 0 2 0 0 0 0 0 0 0 2 0 2 6 2 6 6 4 6 0 4 0 6 2 6 4 6 4 2 4 6 2 0 4 4 2 6 0 4 2 6 2 0 4 2 6 2 0 0 2 6 4 2 0 0 0 6 0 2 2 2 2 6 6 2 0 0 0 0 2 0 0 0 2 6 2 2 6 2 2 6 4 2 6 0 2 0 0 4 4 4 4 2 2 0 0 2 2 0 6 4 2 6 6 6 4 4 2 6 2 4 0 6 4 4 2 4 2 0 2 4 0 4 4 4 2 0 0 2 4 0 0 0 0 0 0 2 0 2 2 2 4 4 0 0 2 4 0 4 0 6 6 6 4 6 2 4 2 2 2 2 6 2 4 4 4 4 2 4 2 2 4 0 0 6 2 0 0 0 2 2 6 6 2 0 2 2 6 4 0 6 0 2 2 6 4 2 0 0 0 0 0 0 2 2 4 6 2 4 4 2 6 4 4 6 2 6 2 2 6 4 2 6 0 0 0 4 6 6 4 2 6 2 4 0 6 6 4 6 0 2 0 4 0 0 0 2 6 6 0 6 2 4 0 0 0 2 2 2 0 0 4 2 0 0 0 0 0 0 0 4 4 4 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 4 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 0 0 generates a code of length 66 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+70x^54+76x^55+183x^56+264x^57+348x^58+388x^59+513x^60+690x^61+872x^62+1102x^63+1371x^64+1578x^65+1556x^66+1592x^67+1344x^68+1118x^69+804x^70+710x^71+551x^72+350x^73+284x^74+186x^75+165x^76+88x^77+86x^78+40x^79+30x^80+8x^81+11x^82+2x^83+2x^84+1x^98 The gray image is a code over GF(2) with n=264, k=14 and d=108. This code was found by Heurico 1.16 in 16.6 seconds.