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 2 2 1 1 4 8 2 2 2 4 1 1 1 1 4 1 1 4 0 4 2 2 1 1 8 1 2 2 2 1 1 4 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 0 4 4 8 0 4 4 8 4 8 4 0 8 0 12 0 12 12 0 8 4 8 0 0 8 12 12 0 4 8 12 4 8 8 8 12 8 0 0 12 0 12 4 0 12 0 4 4 8 0 8 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 4 4 8 4 4 0 4 0 4 8 8 8 0 4 4 4 8 0 12 0 0 8 0 8 12 12 0 8 4 8 12 12 0 8 4 8 8 4 12 4 8 4 12 8 12 12 0 12 4 4 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 8 8 8 12 12 4 12 0 0 4 4 8 4 4 12 12 8 0 12 4 8 4 4 8 8 12 4 0 12 0 12 0 4 8 8 8 0 12 0 4 8 12 8 0 12 8 4 12 8 8 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 4 8 8 0 4 8 12 4 4 4 12 0 0 8 4 4 0 4 0 12 0 0 4 4 4 4 12 8 4 0 0 12 4 0 4 8 4 12 0 8 4 0 4 4 12 12 4 8 0 4 4 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 8 8 0 0 8 0 8 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 8 0 8 generates a code of length 74 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+78x^62+134x^63+201x^64+274x^65+392x^66+400x^67+594x^68+792x^69+1583x^70+2206x^71+3200x^72+4378x^73+4341x^74+4392x^75+3246x^76+2232x^77+1511x^78+838x^79+619x^80+382x^81+294x^82+180x^83+162x^84+112x^85+87x^86+38x^87+34x^88+22x^89+29x^90+4x^91+6x^92+4x^94+1x^96+1x^110 The gray image is a code over GF(2) with n=592, k=15 and d=248. This code was found by Heurico 1.16 in 33.5 seconds.