The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 4 0 2 1 1 1 1 1 1 4 4 1 1 1 2 1 1 0 12 0 12 0 12 0 12 0 4 8 0 12 12 4 0 8 12 12 0 0 12 12 4 12 0 0 12 12 8 8 12 12 0 8 4 12 12 12 0 0 8 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 8 0 0 0 8 0 8 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 0 8 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 0 8 8 8 0 8 0 0 8 8 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 8 0 0 8 8 8 0 8 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+37x^30+129x^32+251x^34+64x^35+710x^36+256x^37+2472x^38+384x^39+2468x^40+256x^41+706x^42+64x^43+226x^44+97x^46+42x^48+19x^50+6x^52+2x^54+2x^60 The gray image is a code over GF(2) with n=312, k=13 and d=120. This code was found by Heurico 1.16 in 1.03 seconds.