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 2 2 4 4 2 4 2 4 4 2 2 1 1 1 2 1 1 2 1 1 1 0 12 0 0 0 0 0 0 0 0 0 12 8 8 12 12 4 4 4 12 12 4 4 0 8 12 12 0 8 0 12 8 0 12 12 12 8 8 4 0 4 8 0 8 8 8 12 8 12 0 4 12 8 8 4 4 0 8 12 4 8 12 8 0 0 0 12 0 0 0 0 0 0 0 4 0 4 12 12 12 8 12 8 4 12 0 8 4 12 12 4 12 0 8 12 8 4 8 0 4 4 4 0 12 4 0 8 12 8 12 4 12 8 4 12 4 4 4 0 12 4 0 8 8 4 4 0 0 0 0 0 12 0 0 0 4 12 12 4 12 4 4 0 8 12 12 4 8 12 8 0 4 0 0 12 8 12 0 8 8 4 8 12 4 8 12 12 12 12 4 0 8 4 0 8 8 4 0 0 12 8 12 4 8 8 0 8 12 8 0 4 0 0 0 0 0 12 0 4 4 4 0 8 8 0 4 12 4 8 4 12 0 0 8 4 12 12 8 0 0 4 4 12 0 8 12 0 12 12 4 4 8 12 12 4 0 8 0 4 12 0 4 0 12 4 12 4 12 12 0 0 8 0 8 0 0 0 0 0 0 0 12 4 8 4 4 0 0 4 12 0 12 4 8 4 0 12 12 0 0 8 4 8 12 4 4 0 4 8 12 0 12 0 0 8 8 8 0 8 4 4 12 8 8 4 0 0 4 12 12 12 12 12 12 0 12 8 8 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 8 0 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 0 8 8 8 0 0 0 0 0 8 0 generates a code of length 64 over Z16 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+38x^52+82x^53+205x^54+246x^55+277x^56+426x^57+388x^58+824x^59+606x^60+2344x^61+2378x^62+6360x^63+4527x^64+6188x^65+2381x^66+2542x^67+639x^68+784x^69+343x^70+342x^71+242x^72+196x^73+153x^74+112x^75+65x^76+22x^77+37x^78+4x^79+5x^80+6x^81+2x^82+2x^83+1x^102 The gray image is a code over GF(2) with n=512, k=15 and d=208. This code was found by Heurico 1.16 in 26.8 seconds.