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 2 1 1 1 1 2 1 1 1 2 1 1 1 1 4 1 1 0 1 1 2 1 1 4 1 1 2 1 1 4 4 2 2 1 0 12 0 12 0 12 0 12 8 4 0 12 0 12 8 4 0 0 0 8 12 12 4 12 12 8 8 0 12 4 4 12 12 0 12 4 8 12 12 4 4 12 12 12 0 0 12 4 0 12 4 8 12 12 12 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 8 0 0 8 8 0 8 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 0 0 0 8 0 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 8 0 0 8 8 8 8 0 0 8 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 0 8 0 0 8 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 0 0 0 0 8 8 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 8 8 0 8 8 0 0 0 0 8 0 8 8 0 8 0 8 0 generates a code of length 57 over Z16 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+28x^48+20x^49+56x^50+42x^51+90x^52+186x^53+145x^54+466x^55+726x^56+634x^57+727x^58+446x^59+120x^60+174x^61+55x^62+70x^63+43x^64+10x^65+28x^66+14x^68+7x^70+2x^72+4x^74+1x^78+1x^90 The gray image is a code over GF(2) with n=456, k=12 and d=192. This code was found by Heurico 1.16 in 0.536 seconds.