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 1 1 1 1 1 1 1 2 2 4 2 2 4 4 0 2 0 1 1 0 8 1 2 8 1 4 4 8 2 1 1 2 8 1 0 1 0 1 1 0 12 0 0 0 0 0 0 0 0 0 8 8 8 12 4 12 12 4 4 8 12 4 8 0 0 4 12 4 12 4 12 12 4 4 4 0 4 12 8 4 4 4 8 8 12 8 8 8 8 0 4 8 8 4 0 0 0 4 0 0 8 0 4 0 8 12 8 12 0 0 12 4 0 0 4 0 4 12 0 0 12 0 0 0 0 0 0 0 4 4 4 0 0 8 12 4 12 4 4 8 12 4 12 4 0 0 12 8 12 8 12 4 0 8 4 0 12 12 8 4 12 12 8 8 4 0 12 8 12 8 12 12 12 12 8 0 0 0 4 12 12 8 8 8 8 4 4 4 8 12 0 12 4 8 4 4 4 0 0 0 12 0 0 0 4 12 12 4 4 0 8 4 12 12 8 0 8 8 0 4 4 0 12 0 0 8 4 4 12 12 12 8 0 4 8 0 0 8 12 8 8 12 12 12 12 8 4 8 0 12 4 4 12 4 4 12 4 4 12 4 4 4 4 8 0 0 4 12 12 12 4 8 8 8 12 8 0 0 0 0 12 0 4 4 4 0 8 0 8 8 8 0 8 12 12 8 12 12 8 12 4 12 12 0 8 12 4 4 12 0 4 0 4 0 0 0 12 8 12 0 8 12 8 4 0 0 0 12 8 12 4 8 12 4 0 12 8 0 12 4 4 4 12 4 0 8 12 0 12 0 0 8 12 4 12 0 0 0 0 0 12 4 8 4 4 0 4 4 8 4 0 0 8 12 4 4 8 4 12 0 8 12 12 8 4 0 8 12 4 0 0 0 4 12 4 12 0 0 0 0 12 0 0 4 4 8 8 8 12 12 4 4 8 12 4 8 4 12 12 4 0 4 8 8 8 0 4 12 0 8 0 4 4 12 0 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 8 8 0 8 8 0 0 0 0 8 8 8 8 0 0 0 0 0 8 0 0 generates a code of length 79 over Z16 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+80x^67+168x^68+214x^69+304x^70+356x^71+609x^72+824x^73+1114x^74+1676x^75+2265x^76+3300x^77+3713x^78+3684x^79+3751x^80+3140x^81+2346x^82+1696x^83+1118x^84+736x^85+524x^86+330x^87+267x^88+178x^89+106x^90+90x^91+65x^92+46x^93+19x^94+22x^95+12x^96+10x^97+1x^98+2x^99+1x^114 The gray image is a code over GF(2) with n=632, k=15 and d=268. This code was found by Heurico 1.16 in 36.7 seconds.