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 2 2 2 1 2 4 2 2 4 2 1 1 1 0 1 1 2 1 0 1 1 2 1 1 1 2 1 1 2 4 2 1 1 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 12 4 12 12 4 0 8 0 12 8 4 4 12 4 12 8 0 0 12 12 12 4 8 0 0 12 0 8 12 4 4 0 4 0 0 12 12 4 8 0 0 12 8 4 12 8 4 8 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 0 4 4 0 12 8 4 0 8 4 0 0 4 4 8 4 12 12 8 8 0 12 4 12 12 12 8 4 0 12 4 0 8 0 4 0 8 8 8 12 4 8 4 4 12 12 4 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 0 0 8 0 8 0 0 0 0 8 0 8 0 8 0 8 8 0 8 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 0 0 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 0 8 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 0 8 8 8 0 0 0 8 0 8 8 8 8 0 0 8 8 0 0 8 0 0 8 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 8 0 0 8 8 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 0 8 0 8 8 8 0 8 8 8 8 0 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+33x^54+62x^55+126x^56+142x^57+247x^58+314x^59+360x^60+588x^61+603x^62+942x^63+2103x^64+3318x^65+4718x^66+5624x^67+4764x^68+3352x^69+2119x^70+948x^71+595x^72+650x^73+330x^74+234x^75+176x^76+124x^77+117x^78+62x^79+51x^80+18x^81+14x^82+4x^83+12x^84+8x^86+2x^87+3x^88+3x^90+1x^96 The gray image is a code over GF(2) with n=536, k=15 and d=216. This code was found by Heurico 1.16 in 29.4 seconds.