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 1 1 1 1 1 1 4 4 2 2 2 1 1 1 2 1 1 0 12 0 0 0 0 0 0 0 0 8 4 12 12 8 12 12 12 0 8 12 0 4 12 4 8 12 0 0 12 4 8 4 4 8 8 12 12 0 0 0 12 0 0 0 0 0 0 0 12 8 4 12 4 4 0 8 12 12 12 12 8 0 12 12 0 8 4 8 12 0 4 4 8 12 8 4 0 0 0 0 12 0 0 8 12 12 4 4 12 8 12 12 8 12 8 4 8 12 0 12 0 8 0 0 4 8 4 0 12 4 0 12 4 0 8 0 0 0 0 0 12 0 12 12 4 8 0 0 0 0 8 12 4 12 4 0 12 8 12 8 0 4 8 0 0 8 8 0 12 4 4 0 4 12 0 0 0 0 0 0 12 4 8 4 4 0 0 0 0 4 0 4 4 8 12 0 0 8 8 8 12 4 12 4 12 8 8 0 0 4 8 12 12 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+60x^30+76x^31+155x^32+228x^33+245x^34+320x^35+537x^36+1330x^37+3077x^38+4302x^39+3151x^40+1322x^41+549x^42+342x^43+181x^44+166x^45+155x^46+78x^47+65x^48+26x^49+9x^50+2x^51+6x^52+1x^66 The gray image is a code over GF(2) with n=312, k=14 and d=120. This code was found by Heurico 1.16 in 3.55 seconds.