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 2 2 1 1 1 1 1 1 1 2 1 1 0 2 0 0 0 0 0 0 0 0 0 2 2 2a+2 2 2a 2a+2 2a 2a 2a+2 2a 2 2a 2 0 2a 2a 2a+2 2a+2 2 2 0 2a+2 2a+2 2a+2 2a 2a 0 2 2a 2a+2 0 0 2 0 0 0 0 2 2 2 2a 2a+2 2a+2 2a 2a 0 2a+2 2a+2 2a 2a 2 2 2a 0 2 2a+2 0 2 0 2a 2a 2a+2 2a+2 2a+2 2a+2 2a 2a+2 2 0 2a+2 2a+2 0 0 0 2 0 0 2 2a+2 2a+2 2a 0 0 2 0 2 2a 0 2a+2 2a 2 2a+2 2a 2a+2 2a+2 2a+2 0 2a+2 2a 2a+2 2a+2 0 0 2a 2 2 2a 2a+2 2a 0 0 2a 0 0 0 0 2 0 2a+2 0 2a+2 2 2a 2 0 2 2a+2 0 2 2a 2a+2 2 0 2a+2 2a 2 2 2a+2 2a+2 0 2 2a+2 0 2a 2a 2a 2 2a+2 2 0 2a+2 2 0 0 0 0 0 0 2 2 2 2a+2 2a+2 2a+2 2a+2 0 2 0 2a+2 2a 0 2a 2a+2 2 2a+2 2a 2 0 2a 2a+2 2a 0 2 2a+2 2 2a+2 2 2a+2 2a+2 0 2a 0 0 2 generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 104. Homogenous weight enumerator: w(x)=1x^0+210x^104+339x^108+465x^112+192x^114+468x^116+1728x^118+447x^120+5184x^122+513x^124+5184x^126+444x^128+438x^132+417x^136+213x^140+90x^144+42x^148+6x^152+3x^156 The gray image is a code over GF(4) with n=164, k=7 and d=104. This code was found by Heurico 1.16 in 1.68 seconds.