The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 1 1 2 12 1 2 0 1 2 1 1 12 1 1 2 1 1 0 1 1 1 2 1 12 1 2 1 1 1 2 1 1 1 2 2 0 1 1 1 1 1 0 2 0 1 1 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 10 10 0 6 6 2 12 6 0 10 2 10 6 2 6 10 10 12 2 6 0 6 6 6 2 12 4 14 10 0 2 10 6 12 2 8 10 2 12 10 6 6 2 0 10 12 14 0 2 6 2 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 0 8 8 8 8 0 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 0 8 8 8 0 0 0 0 8 8 0 0 8 0 0 8 0 0 0 0 8 8 0 0 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 0 0 8 0 8 0 0 0 8 8 0 8 8 0 0 8 0 8 8 8 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 0 0 0 8 8 0 0 0 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 0 0 8 0 8 8 8 0 8 8 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 8 0 0 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 8 0 8 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 8 0 8 8 8 0 8 8 0 0 0 0 8 0 8 8 0 8 0 8 8 8 8 0 0 0 0 8 generates a code of length 69 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+30x^56+4x^57+80x^58+32x^59+172x^60+240x^61+381x^62+656x^63+856x^64+1596x^65+2234x^66+3408x^67+4472x^68+4512x^69+4471x^70+3408x^71+2215x^72+1596x^73+835x^74+656x^75+358x^76+240x^77+123x^78+32x^79+63x^80+4x^81+45x^82+20x^84+17x^86+3x^88+5x^90+2x^92+1x^98 The gray image is a code over GF(2) with n=552, k=15 and d=224. This code was found by Heurico 1.16 in 24.1 seconds.