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 2 2 4 2 1 1 0 4 2 4 1 0 2 2 2 2 4 4 1 4 2 2 2 2 1 1 4 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 4 12 8 4 8 8 12 12 12 12 4 12 4 12 12 4 8 12 4 12 8 8 12 4 0 12 12 4 8 12 0 0 0 0 12 8 8 8 0 8 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 8 8 4 4 12 12 0 12 12 0 0 0 4 8 8 12 0 4 0 12 12 8 0 4 4 4 4 12 4 4 8 4 8 4 12 12 4 12 8 0 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 8 4 4 8 4 4 8 4 8 12 4 8 8 0 0 8 0 4 0 0 12 4 12 0 4 4 4 12 8 8 4 4 4 4 0 4 4 12 12 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 8 0 8 8 8 0 0 8 8 0 8 0 8 0 8 0 0 0 8 0 0 8 8 8 0 0 0 8 0 8 8 0 8 0 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 8 8 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 8 0 0 8 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 8 8 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 8 8 8 8 8 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 0 0 0 8 8 8 8 0 0 8 8 0 0 8 0 0 0 8 8 8 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+236x^56+8x^57+446x^58+60x^59+827x^60+264x^61+1190x^62+1112x^63+3026x^64+2600x^65+4520x^66+4048x^67+4667x^68+2952x^69+2920x^70+872x^71+1239x^72+304x^73+698x^74+52x^75+375x^76+16x^77+194x^78+101x^80+16x^82+17x^84+5x^88+2x^92 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 38.7 seconds.