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 2 1 1 1 1 2 1 1 1 1 1 1 2 1 2 2 1 1 2 2 1 1 4 1 4 1 1 1 1 8 4 2 0 12 0 0 0 0 0 0 0 4 12 12 4 12 4 12 8 12 8 12 0 8 12 12 8 4 12 0 4 12 4 4 0 8 0 8 12 0 8 0 8 12 8 4 4 8 12 8 8 0 0 12 4 8 0 8 12 0 0 0 12 0 0 8 12 12 4 4 4 8 4 12 0 8 0 8 0 4 4 4 4 0 4 12 8 12 0 0 0 8 4 0 8 12 4 12 8 8 0 12 8 0 4 4 0 4 4 8 8 8 12 12 0 4 8 12 0 0 0 12 0 12 12 4 8 0 0 0 4 12 4 4 8 12 4 4 8 8 4 4 4 0 0 4 8 12 0 8 4 4 8 0 12 12 8 0 12 0 4 4 0 12 8 4 12 8 12 8 8 4 8 0 12 12 0 0 0 0 12 4 8 4 4 0 4 4 4 0 8 12 12 8 8 4 8 12 0 12 12 4 8 0 12 12 0 12 12 4 8 12 0 0 4 12 0 4 0 12 8 4 8 4 4 4 12 0 0 4 4 12 12 12 generates a code of length 58 over Z16 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+58x^51+80x^52+110x^53+141x^54+230x^55+455x^56+656x^57+778x^58+640x^59+396x^60+202x^61+99x^62+70x^63+39x^64+44x^65+29x^66+18x^67+16x^68+12x^69+8x^70+8x^71+5x^72+1x^90 The gray image is a code over GF(2) with n=464, k=12 and d=204. This code was found by Heurico 1.16 in 0.56 seconds.