The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 2a 0 1 0 2a+2 1 3a+2 a+1 3 a+2 3a+3 2 2a+3 1 0 0 1 1 3 3a+3 a a+1 a+2 2a+2 3a+1 3a+2 a+3 generates a code of length 13 over GR(16,4) who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+432x^34+504x^35+69x^36+864x^38+528x^39+180x^40+1008x^42+504x^43+3x^48+3x^52 The gray image is a code over GF(4) with n=52, k=6 and d=34. This code was found by Heurico 1.16 in 0.015 seconds.