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 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 4 1 0 1 1 4 1 4 1 1 1 1 1 1 4 2 2 0 12 0 0 0 0 0 0 0 4 12 12 4 12 4 12 8 12 8 12 0 8 12 8 4 12 12 0 4 12 12 8 12 4 0 8 4 0 4 12 0 4 0 8 4 8 12 4 4 4 12 8 0 8 4 8 4 4 12 0 8 0 4 0 0 12 0 0 8 12 12 4 4 4 8 4 12 0 8 0 8 0 4 4 4 4 4 12 8 0 12 0 0 8 0 4 8 8 8 4 4 12 0 8 12 4 0 4 8 4 0 12 0 0 12 0 4 8 12 8 8 0 8 0 0 12 0 0 0 12 0 12 12 4 8 0 0 0 4 12 4 4 8 12 4 4 8 8 4 4 0 0 4 4 8 12 8 4 0 4 8 4 12 4 8 12 8 8 0 0 12 12 12 0 12 0 8 8 0 12 12 8 0 4 0 0 8 12 0 0 0 0 0 12 4 8 4 4 0 4 4 4 0 8 12 12 8 8 4 8 12 0 12 4 8 12 0 12 12 0 4 0 0 8 0 4 12 12 4 0 4 12 12 12 8 0 12 8 0 4 12 4 4 12 4 0 4 4 12 12 8 0 generates a code of length 63 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+101x^56+4x^57+178x^58+68x^59+353x^60+368x^61+706x^62+648x^63+681x^64+388x^65+296x^66+52x^67+106x^68+8x^69+40x^70+56x^72+22x^74+13x^76+6x^78+1x^104 The gray image is a code over GF(2) with n=504, k=12 and d=224. This code was found by Heurico 1.16 in 0.555 seconds.