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 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 2 2 2a+2 2a 2 2 2a 2a 2a+2 2a 0 2a+2 2a+2 2 2a 2a 2a+2 2a+2 2 2a 2 2a+2 0 2a+2 0 2 0 2a+2 2a+2 2a 2 2 0 2a 2a 2a+2 2a 2a+2 2a+2 0 2a 0 0 0 2 0 0 0 0 2 2 2 2a 2a+2 2a+2 2a 0 2a+2 2a 2 2a 2a+2 2a+2 2a+2 0 2a+2 2a 0 2 0 2 2 0 2 2 2 2 2 0 2a 0 0 2a 2 0 2a 2a 0 2a+2 2 2a+2 2 0 2a 0 0 0 0 2 0 0 2 2a+2 2a+2 2a 0 0 2 0 2 2a+2 2a 2 2a+2 2a+2 2 2 2 2a 2 0 2a+2 2a 2a+2 2a 2 2a+2 0 2a+2 2a+2 0 2a 0 0 2a+2 2a+2 0 2a+2 2a+2 2a 2a+2 2a+2 2a 2a+2 2a 2 0 0 0 0 0 0 2 0 2a+2 0 2a+2 2 2a 2 0 2 2a 2a+2 2a 2a 2a 2a 0 2a 2a 2a 2a+2 2a 0 2a 0 2a+2 0 2 0 0 2 0 2 2 2 2 2a 2a 0 0 2a+2 0 2 0 2a+2 2 2 2a 0 0 0 0 0 0 2 2 2 2a+2 2a+2 2a+2 2a+2 0 2 2a+2 2 2 0 2a 2 2 2a+2 0 2 0 2a 2a+2 2a 2a+2 2a+2 2a+2 2a 2a 0 2 2a 2 2 2a+2 2 2a+2 2a+2 2a 2a 2 2a 2a+2 0 0 2a+2 2a+2 2a 2a generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 136. Homogenous weight enumerator: w(x)=1x^0+33x^136+294x^140+378x^144+48x^147+459x^148+576x^151+456x^152+2592x^155+363x^156+5184x^159+387x^160+3888x^163+462x^164+414x^168+345x^172+213x^176+144x^180+93x^184+42x^188+9x^192+3x^196 The gray image is a code over GF(4) with n=212, k=7 and d=136. This code was found by Heurico 1.16 in 2.27 seconds.