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 2 2 4 2 1 2 2 1 1 1 4 2 1 4 4 4 0 12 0 0 0 0 0 0 0 0 4 8 12 12 4 12 0 8 4 4 8 12 8 8 12 0 12 8 4 12 4 12 12 8 0 0 12 12 0 8 4 4 0 0 0 12 0 0 0 4 12 12 8 4 0 12 8 4 4 4 4 12 4 4 8 4 0 12 8 12 4 8 0 0 0 12 12 4 4 4 12 4 0 12 0 12 0 0 0 12 0 4 4 4 0 8 0 0 0 0 4 12 8 8 12 12 8 12 0 12 0 12 8 8 8 12 12 12 12 12 4 4 8 4 8 12 0 8 0 0 0 0 0 12 4 8 4 4 0 8 4 12 4 12 0 4 8 0 12 0 12 8 0 4 4 8 0 12 4 8 8 8 8 4 8 0 8 0 12 8 12 8 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 8 0 0 generates a code of length 43 over Z16 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+178x^36+8x^37+343x^38+124x^39+710x^40+652x^41+1381x^42+1496x^43+1315x^44+672x^45+703x^46+108x^47+281x^48+12x^49+119x^50+71x^52+14x^54+3x^56+1x^64 The gray image is a code over GF(2) with n=344, k=13 and d=144. This code was found by Heurico 1.16 in 1.31 seconds.