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 1 0 1 2 1 8 1 1 1 2 4 1 1 1 1 8 1 1 1 1 1 12 1 1 12 2 1 2 2 1 1 1 1 1 1 2 2 2 1 0 12 2 1 1 1 1 4 2 2 4 1 1 1 0 2 0 6 4 6 12 2 6 14 8 0 4 2 10 4 12 6 8 2 0 14 4 2 6 0 2 2 10 10 2 2 4 4 14 2 8 0 4 4 2 6 6 10 14 10 2 2 12 2 14 2 2 6 6 8 10 0 12 14 2 10 6 4 2 2 14 0 4 6 8 2 10 14 2 0 4 4 0 0 12 0 4 0 0 8 4 12 0 4 4 4 4 8 0 0 8 0 0 0 12 4 4 4 12 8 4 8 4 12 4 8 8 12 0 12 12 12 8 8 12 4 4 12 12 8 0 0 4 4 4 8 4 12 0 4 8 4 8 12 12 0 8 0 4 12 8 0 4 4 0 4 4 12 8 12 0 0 0 12 0 0 0 12 4 8 12 12 12 0 12 4 8 0 4 4 8 12 8 8 4 4 4 8 12 0 0 4 4 4 12 8 4 8 4 4 4 4 4 0 4 8 4 8 12 8 8 0 0 8 4 0 12 0 8 0 12 4 12 0 0 8 4 12 4 12 4 8 4 0 0 4 4 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 8 8 0 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 0 8 8 8 0 0 8 0 0 8 0 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 0 0 0 0 0 0 8 8 8 8 8 0 8 0 0 8 0 8 0 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 8 0 0 8 8 8 0 8 0 8 0 8 0 0 8 8 0 8 0 0 8 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+70x^69+140x^70+246x^71+392x^72+774x^73+624x^74+1584x^75+1281x^76+2512x^77+1345x^78+2476x^79+1274x^80+1562x^81+571x^82+668x^83+339x^84+210x^85+115x^86+58x^87+22x^88+46x^89+15x^90+20x^91+14x^92+8x^93+4x^94+4x^95+1x^96+2x^97+2x^98+2x^100+1x^104+1x^112 The gray image is a code over GF(2) with n=624, k=14 and d=276. This code was found by Heurico 1.16 in 8.7 seconds.