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 2 4 2 2 2 4 2 1 2 2 1 4 2 2 2 1 2 0 1 1 1 1 1 4 4 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 4 12 4 4 8 4 0 8 8 12 12 8 4 4 4 12 0 8 8 0 8 8 4 8 12 8 4 12 0 0 12 8 4 0 4 4 4 4 0 8 4 8 8 0 4 4 4 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 8 12 12 0 4 8 8 4 4 0 12 12 12 8 12 0 0 8 8 8 12 4 12 8 8 4 0 8 12 8 4 8 4 0 4 12 12 8 4 8 8 4 12 4 8 4 8 4 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 12 4 4 12 0 12 8 12 4 8 8 0 4 0 8 4 4 12 8 4 8 12 4 4 4 4 0 0 4 8 12 12 8 12 0 0 8 12 12 0 4 4 4 8 8 8 4 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 4 4 8 0 12 8 0 12 0 8 8 12 8 4 4 0 0 0 8 12 8 8 12 4 12 4 4 0 4 12 4 0 0 0 8 0 0 0 8 4 4 4 0 4 0 0 0 4 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 0 0 8 0 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 8 0 8 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 8 0 0 0 0 8 0 8 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 0 8 8 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+178x^56+498x^58+32x^59+850x^60+132x^61+1086x^62+720x^63+2455x^64+2964x^65+5176x^66+4652x^67+5255x^68+2892x^69+2532x^70+700x^71+1018x^72+156x^73+698x^74+36x^75+398x^76+222x^78+4x^79+76x^80+28x^82+8x^84+1x^100 The gray image is a code over GF(2) with n=536, k=15 and d=224. This code was found by Heurico 1.16 in 29.3 seconds.