The generator matrix 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 2 4 1 1 0 1 1 1 4 1 2 4 2 1 1 1 0 12 0 12 0 12 0 12 8 4 0 12 0 12 8 4 0 0 0 8 0 12 12 4 12 12 4 12 12 12 4 8 4 12 8 12 12 12 12 12 0 8 12 12 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 8 8 8 0 0 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 8 8 8 0 8 0 8 0 8 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 0 0 0 8 8 8 8 8 8 0 8 8 0 8 8 0 0 8 0 8 0 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 8 0 0 8 8 8 8 8 8 0 0 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 8 8 0 generates a code of length 44 over Z16 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+51x^36+14x^37+55x^38+70x^39+129x^40+214x^41+324x^42+974x^43+437x^44+1002x^45+314x^46+210x^47+129x^48+50x^49+46x^50+26x^51+15x^52+22x^54+5x^56+6x^58+1x^60+1x^70 The gray image is a code over GF(2) with n=352, k=12 and d=144. This code was found by Heurico 1.16 in 0.342 seconds.