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 2 2 2 2 2 2 4 4 2 1 1 0 1 1 1 2 8 1 4 4 2 1 1 0 4 1 4 1 4 2 4 4 4 2 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 4 8 8 8 12 12 4 0 12 4 8 4 8 4 12 0 12 4 0 4 4 12 12 0 8 12 0 8 4 0 12 8 4 4 12 4 4 8 8 12 0 4 0 12 4 8 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 4 4 8 4 8 0 0 0 12 12 4 12 8 4 12 0 12 8 4 12 12 12 0 4 4 8 4 0 4 12 4 8 4 8 0 8 0 12 4 4 12 12 4 12 8 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 8 8 8 8 8 0 8 8 8 8 8 0 8 0 0 0 8 0 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 0 8 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 8 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 8 0 8 0 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 0 0 8 8 0 8 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 0 8 8 0 0 0 8 8 0 0 8 8 8 8 8 0 8 0 0 8 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 0 8 0 8 0 8 0 0 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 0 0 0 0 0 8 8 8 0 8 0 0 8 0 8 0 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+186x^56+8x^57+266x^58+32x^59+657x^60+276x^61+1002x^62+632x^63+2297x^64+1652x^65+3592x^66+3536x^67+4505x^68+3544x^69+3638x^70+1664x^71+2325x^72+640x^73+978x^74+272x^75+554x^76+20x^77+206x^78+8x^79+172x^80+4x^81+44x^82+41x^84+2x^86+11x^88+3x^92 The gray image is a code over GF(2) with n=544, k=15 and d=224. This code was found by Heurico 1.16 in 30.6 seconds.