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 2 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 4 1 1 1 0 1 1 1 1 1 1 1 4 1 4 1 1 2 2 2 1 0 12 0 12 0 12 0 12 8 4 0 12 4 0 12 8 0 12 8 4 8 12 4 0 12 4 12 4 12 0 12 0 8 0 0 12 12 0 0 8 12 8 8 12 8 12 0 8 0 0 8 0 8 4 12 12 12 0 4 8 4 0 0 12 8 0 4 4 8 8 12 8 4 12 12 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 8 8 8 0 0 8 8 0 8 8 0 0 0 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 0 8 0 0 0 0 0 8 8 8 0 8 0 8 0 8 8 0 0 0 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 0 0 0 8 8 8 8 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 0 8 8 8 0 8 0 0 0 8 0 0 0 8 8 0 0 0 8 0 8 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 0 8 0 0 8 0 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 0 0 0 8 8 0 8 8 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 0 0 8 8 0 8 8 0 0 8 0 0 0 0 8 8 0 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 8 8 0 0 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 8 0 8 0 0 8 8 8 generates a code of length 77 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+42x^68+36x^69+70x^70+46x^71+91x^72+78x^73+146x^74+456x^75+701x^76+812x^77+698x^78+468x^79+125x^80+80x^81+59x^82+40x^83+38x^84+16x^85+37x^86+14x^87+19x^88+2x^89+10x^90+3x^92+2x^94+4x^96+1x^102+1x^130 The gray image is a code over GF(2) with n=616, k=12 and d=272. This code was found by Heurico 1.16 in 0.99 seconds.