The generator matrix 1 0 1 1 1 6 1 1 12 1 10 1 1 1 0 1 6 1 1 1 12 1 1 10 1 1 0 1 1 6 1 1 12 1 1 10 1 1 1 1 2 1 2 1 2 0 12 2 1 0 1 1 1 4 1 6 0 1 3 6 5 1 12 15 1 10 1 9 5 0 1 6 1 3 12 15 1 10 9 1 0 3 1 6 5 1 9 10 1 15 12 1 10 0 8 6 0 9 12 14 4 2 1 6 15 1 15 12 12 12 12 1 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 0 0 8 0 8 0 8 0 0 8 8 8 0 0 8 8 8 0 0 8 0 0 0 0 8 8 8 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 0 0 0 8 8 0 8 0 0 8 0 0 0 0 8 0 8 0 0 0 8 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 0 8 8 0 0 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 8 8 0 8 0 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 8 generates a code of length 56 over Z16 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+152x^51+193x^52+480x^53+304x^54+734x^55+432x^56+728x^57+307x^58+430x^59+135x^60+128x^61+26x^62+26x^63+6x^64+8x^65+2x^67+2x^70+1x^72+1x^90 The gray image is a code over GF(2) with n=448, k=12 and d=204. This code was found by Heurico 1.16 in 76.8 seconds.