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 2 2 2 4 2 1 0 0 1 2 2 1 1 1 0 4 2 1 4 4 0 1 2 1 1 0 1 2 1 1 1 0 2 0 1 2 1 1 2 2 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 0 2 2 0 4 0 2 6 2 6 2 2 4 0 0 2 6 0 2 2 2 0 2 2 2 2 6 6 2 0 4 4 4 6 6 2 2 6 2 0 2 2 6 6 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 4 6 6 4 2 4 6 2 0 2 4 4 4 2 4 6 2 2 2 0 0 2 6 2 6 2 0 6 0 0 4 2 2 2 4 2 0 4 0 0 0 6 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 0 4 0 0 4 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 0 0 0 4 4 0 4 0 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0 0 0 4 4 0 4 0 0 4 0 0 4 4 0 4 0 0 4 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 0 4 0 4 4 4 0 4 0 4 0 4 0 0 4 0 4 4 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 0 0 4 4 4 0 0 0 0 4 4 0 0 4 4 4 4 4 0 0 0 4 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 4 0 0 4 0 4 4 4 4 0 4 0 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 0 0 0 0 4 4 4 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 4 4 0 4 0 4 4 0 0 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 4 0 0 4 0 4 4 4 0 0 0 4 4 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4 0 4 0 4 0 generates a code of length 66 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+157x^52+174x^54+4x^55+779x^56+64x^57+886x^58+284x^59+1947x^60+656x^61+2366x^62+1256x^63+3970x^64+1856x^65+3920x^66+1784x^67+3873x^68+1248x^69+2868x^70+724x^71+1779x^72+256x^73+870x^74+44x^75+579x^76+16x^77+158x^78+181x^80+20x^82+34x^84+2x^86+10x^88+2x^92 The gray image is a code over GF(2) with n=264, k=15 and d=104. This code was found by Heurico 1.16 in 63.5 seconds.