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 2 1 2 4 0 0 4 1 1 1 1 1 2 1 2 1 1 0 12 0 0 0 4 12 4 8 0 4 0 8 4 4 4 4 0 12 0 4 0 0 8 12 8 8 4 4 8 4 8 8 8 12 4 12 4 4 12 12 0 0 0 12 0 4 4 12 0 0 4 8 0 12 12 8 4 4 0 8 4 0 4 8 12 12 4 0 8 0 0 4 8 0 4 12 0 8 0 8 0 4 0 0 0 0 12 4 0 12 4 4 8 0 8 4 4 4 8 8 0 12 4 0 4 4 4 12 0 4 12 12 4 4 12 0 8 8 0 0 4 8 8 4 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 8 8 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 8 0 generates a code of length 42 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+51x^34+80x^35+124x^36+168x^37+217x^38+432x^39+947x^40+1368x^41+1472x^42+1400x^43+869x^44+438x^45+264x^46+112x^47+84x^48+62x^49+32x^50+24x^51+19x^52+10x^53+10x^54+4x^56+2x^57+1x^58+1x^62 The gray image is a code over GF(2) with n=336, k=13 and d=136. This code was found by Heurico 1.16 in 0.989 seconds.