The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a 2 1 1 1 1 2a 1 2a+2 1 1 1 2 1 1 1 1 1 1 1 2a+2 1 0 1 0 2a+2 2a 2 1 3a+2 3a+3 2a+3 2a+1 a+2 a a+1 a+3 3 3a 3a+1 1 1 1 0 1 a 3a+3 1 2a 1 a+3 2a+3 2 1 a+2 a 3 2a+1 a+3 3a+2 2a+2 1 3a+1 0 0 1 1 a 3a+3 3a+1 a+1 a+3 a+2 2a+1 3a+2 2a+2 2a+3 2a 2 3 3a 2a+1 3a a+1 2 3a+3 0 3a+1 3a+2 3a+2 a+3 2a+2 a a+3 a+3 a+2 a+2 2a 1 a+3 3a+3 2a+3 2a+3 a generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+390x^116+264x^117+240x^118+144x^119+585x^120+384x^121+264x^122+144x^123+222x^124+288x^125+144x^126+72x^127+243x^128+96x^129+72x^130+348x^132+120x^133+48x^134+24x^135+3x^136 The gray image is a code over GF(4) with n=164, k=6 and d=116. This code was found by Heurico 1.16 in 0.344 seconds.