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 1 2 2 2 2 2 1 1 1 2 1 1 2 4 1 0 1 2 4 1 8 1 1 2 1 2 1 8 1 1 1 1 1 1 1 0 2 1 4 2 1 2 1 4 1 1 4 2 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 8 4 4 8 12 0 0 4 12 4 4 8 0 8 12 8 0 0 12 12 12 0 0 4 0 12 8 4 0 4 8 12 4 0 0 0 4 12 4 8 4 12 4 0 4 12 8 0 0 12 12 0 8 4 8 4 8 8 4 0 0 4 8 8 4 4 8 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 12 12 0 8 12 12 4 8 0 8 8 4 0 4 12 0 0 0 8 0 0 8 0 0 12 8 12 12 4 0 12 4 12 4 0 0 0 12 4 4 4 8 8 12 12 8 12 0 8 0 12 0 8 4 8 8 0 8 4 4 0 4 8 12 4 0 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 8 8 12 12 8 4 8 4 4 4 8 0 4 4 0 8 12 12 8 4 12 12 4 8 0 4 0 8 0 8 12 0 0 0 0 0 4 8 8 4 0 0 4 12 4 4 4 4 0 12 0 12 4 12 0 8 4 12 0 4 12 12 12 8 4 8 4 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 0 8 4 8 4 4 12 0 12 4 0 8 12 4 8 4 0 4 8 12 0 0 12 12 0 8 12 8 8 8 12 8 4 0 4 0 0 12 8 4 4 8 8 4 0 12 12 8 4 8 8 12 4 4 0 4 4 4 8 0 0 4 8 4 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 8 8 0 8 0 0 0 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 8 8 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 0 0 0 0 0 generates a code of length 87 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+51x^76+144x^77+179x^78+186x^79+313x^80+404x^81+434x^82+780x^83+1176x^84+1394x^85+1973x^86+2248x^87+1976x^88+1844x^89+1186x^90+564x^91+419x^92+278x^93+211x^94+124x^95+119x^96+120x^97+90x^98+54x^99+34x^100+32x^101+19x^102+10x^103+6x^104+6x^105+2x^106+2x^107+2x^110+2x^113+1x^128 The gray image is a code over GF(2) with n=696, k=14 and d=304. This code was found by Heurico 1.16 in 11.5 seconds.