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 2 2 8 1 1 4 2 1 2 8 2 1 0 1 8 1 2 8 1 8 4 1 2 2 1 2 2 2 1 2 2 1 1 2 2 8 1 2 8 2 2 1 1 2 1 0 2 0 2 0 0 14 6 4 2 4 14 12 6 12 2 0 12 12 8 12 0 0 8 2 6 10 10 14 2 6 12 14 4 12 12 10 2 4 10 2 10 2 14 4 2 14 2 6 10 2 14 2 2 6 0 8 14 14 14 6 8 10 6 6 0 2 10 2 0 0 2 2 6 6 12 2 0 0 0 2 2 12 6 14 0 4 6 2 12 0 10 6 12 8 2 14 0 8 14 2 12 2 10 8 12 8 14 6 4 12 2 6 2 8 4 2 2 6 6 12 8 8 12 8 2 8 8 8 12 6 12 8 2 10 8 14 8 6 14 4 6 6 2 2 12 2 8 8 10 4 6 10 2 6 0 0 0 0 4 0 0 12 8 8 12 0 0 8 4 0 8 0 4 4 4 12 4 4 4 0 0 4 12 12 8 8 12 4 0 8 8 8 0 0 12 4 0 0 4 8 12 12 0 12 0 12 8 12 8 0 4 12 0 12 0 8 4 12 8 4 8 12 8 0 0 12 8 4 12 8 12 12 0 0 0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 8 0 0 8 8 0 0 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 8 8 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 0 0 8 8 8 0 0 8 0 0 8 0 8 0 0 8 0 8 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 0 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+39x^68+160x^69+422x^70+640x^71+941x^72+1500x^73+1623x^74+2868x^75+2355x^76+4346x^77+2704x^78+4858x^79+2427x^80+3092x^81+1441x^82+1234x^83+748x^84+514x^85+412x^86+168x^87+113x^88+46x^89+47x^90+16x^91+25x^92+4x^93+6x^94+6x^95+6x^96+2x^97+1x^98+2x^99+1x^100 The gray image is a code over GF(2) with n=624, k=15 and d=272. This code was found by Heurico 1.16 in 25.1 seconds.