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 2 0 1 12 2 1 1 1 2 0 2 1 1 12 1 1 1 2 8 4 1 1 2 8 1 1 1 2 1 1 4 4 1 1 1 1 1 1 1 4 8 8 1 2 2 2 2 4 0 2 0 1 2 1 0 2 0 6 4 14 12 2 0 6 14 12 8 10 2 4 14 2 8 8 14 0 8 10 6 2 14 2 10 2 8 2 6 2 10 12 8 2 6 10 10 14 2 2 8 6 2 2 4 0 14 14 6 0 2 2 6 8 2 2 6 0 14 4 2 4 10 4 4 10 12 8 0 14 2 4 6 0 0 0 12 0 4 4 0 4 0 0 4 8 4 8 12 12 4 4 4 4 8 0 0 0 0 0 12 8 0 12 4 0 8 8 0 0 8 0 8 0 4 4 4 4 8 4 4 12 12 4 4 12 0 8 12 4 4 12 0 8 8 12 4 4 12 12 12 4 4 0 12 4 4 12 8 12 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 8 0 0 8 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 0 8 0 8 8 0 8 8 8 8 0 0 8 0 8 8 8 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 8 8 0 8 8 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 0 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 8 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 8 8 8 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 8 8 0 8 8 0 8 0 0 0 8 8 0 0 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 8 0 8 0 0 8 8 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 0 8 8 0 8 0 8 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+28x^66+60x^67+121x^68+228x^69+428x^70+538x^71+848x^72+1102x^73+2444x^74+1746x^75+3874x^76+2480x^77+5078x^78+2504x^79+3915x^80+1784x^81+2336x^82+1028x^83+837x^84+480x^85+371x^86+238x^87+99x^88+58x^89+40x^90+30x^91+20x^92+12x^93+16x^94+8x^96+8x^98+4x^100+3x^102+1x^104 The gray image is a code over GF(2) with n=624, k=15 and d=264. This code was found by Heurico 1.16 in 28.8 seconds.