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 2 2 2 4 4 4 4 2 4 1 1 4 0 2 4 4 1 2 0 12 0 0 0 4 12 4 0 8 0 12 0 0 4 12 0 4 8 0 12 12 4 12 8 12 0 8 0 8 4 4 0 12 4 0 0 12 8 4 0 0 12 0 4 4 12 0 0 0 12 8 0 12 12 4 4 8 12 8 8 8 0 4 12 8 12 12 8 4 12 4 8 8 0 8 12 12 0 4 0 0 0 12 4 0 12 4 0 4 12 12 8 8 8 12 0 0 4 12 8 4 4 4 12 8 8 12 4 0 8 8 0 8 8 12 0 4 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 8 8 8 0 8 0 0 8 8 8 8 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 0 0 8 8 0 8 0 8 0 8 8 0 8 0 0 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 0 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 8 0 8 0 8 0 8 0 generates a code of length 40 over Z16 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+56x^30+118x^31+205x^32+302x^33+572x^34+852x^35+1538x^36+2190x^37+3485x^38+4668x^39+4679x^40+4780x^41+3465x^42+2248x^43+1600x^44+844x^45+534x^46+286x^47+154x^48+70x^49+74x^50+20x^51+14x^52+6x^53+5x^54+1x^58+1x^72 The gray image is a code over GF(2) with n=320, k=15 and d=120. This code was found by Heurico 1.16 in 13.9 seconds.