The generator matrix 1 1 1 1 1 1 1 1 1 1 2 1 0 1 2 1 12 1 1 1 2 0 1 1 2 12 2 1 1 0 1 2 0 0 2 1 2 1 1 1 0 2 12 6 0 6 12 10 0 6 6 12 2 10 10 6 2 6 0 12 6 2 10 0 10 2 6 12 10 2 10 12 2 2 6 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 0 8 0 0 8 0 8 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 0 8 0 0 0 0 0 8 8 0 0 8 0 8 0 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 0 0 0 0 8 8 8 8 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 8 8 0 8 8 0 0 0 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 8 0 8 8 8 8 0 8 0 0 8 8 0 generates a code of length 40 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+50x^28+51x^30+24x^31+179x^32+132x^33+375x^34+528x^35+1368x^36+1608x^37+5118x^38+2840x^39+8246x^40+2800x^41+5205x^42+1608x^43+1234x^44+568x^45+420x^46+112x^47+164x^48+12x^49+65x^50+8x^51+20x^52+26x^54+2x^56+3x^58+1x^62 The gray image is a code over GF(2) with n=320, k=15 and d=112. This code was found by Heurico 1.16 in 9.55 seconds.