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 2 4 1 8 1 2 8 2 1 1 1 1 2 1 2 1 1 2 4 1 1 1 12 1 1 1 1 8 12 1 1 2 1 4 1 0 4 0 1 1 2 1 1 1 2 1 12 1 1 4 4 1 1 1 8 1 1 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 2 4 4 10 14 14 4 0 10 12 0 10 6 8 12 2 2 10 2 8 4 12 10 0 14 0 2 10 14 12 0 8 14 2 2 8 6 2 4 4 8 10 4 2 6 10 10 12 2 10 8 12 2 12 12 0 6 6 14 6 6 2 4 0 2 12 12 14 4 2 14 14 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 6 10 4 2 4 12 2 14 0 8 8 10 14 4 4 10 2 10 6 4 8 2 2 8 6 8 10 0 6 0 6 8 4 12 12 10 14 12 6 6 8 14 6 2 0 2 8 8 4 14 12 2 2 6 8 8 6 0 0 4 0 12 4 10 6 2 2 14 2 4 12 14 12 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 0 0 8 8 0 8 0 8 8 8 8 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 8 0 0 8 8 8 8 8 8 0 0 8 0 0 0 8 8 8 0 0 8 0 0 8 8 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 0 8 0 8 0 0 8 8 8 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 0 8 8 0 8 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 8 8 8 0 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 0 0 8 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 0 0 8 8 0 0 8 8 0 8 0 0 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 8 0 0 0 8 0 8 8 0 8 0 0 8 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+54x^78+88x^79+316x^80+276x^81+733x^82+666x^83+1425x^84+1694x^85+2349x^86+3428x^87+3420x^88+4316x^89+3344x^90+3216x^91+2415x^92+1618x^93+1125x^94+674x^95+747x^96+242x^97+270x^98+108x^99+102x^100+40x^101+53x^102+10x^103+10x^104+6x^105+4x^106+2x^107+9x^108+3x^110+2x^112+1x^116+1x^130 The gray image is a code over GF(2) with n=712, k=15 and d=312. This code was found by Heurico 1.16 in 29.9 seconds.