The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 0 1 1 a a+1 0 2a+3 a a+1 1 0 a 2a+3 a+1 1 2 2a+3 a+2 a+3 1 2 1 a+2 a+3 1 2 2a+1 1 a+2 3a+3 2a+3 2a+1 3 0 2a 1 a+3 1 2a+1 3a 1 1 a+2 3a+3 0 0 2a+2 0 2 0 2 2a 2a 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 0 2 2 2a 2a 2 2a+2 2a 2 2a 2a+2 2a 0 2a+2 2a+2 2a 2 0 2a 2a 2 2a+2 2a+2 0 0 2a+2 0 0 0 2 2a 2a 0 2a 2 2 0 2 2a 2 2 0 0 2 2 2 0 0 2 2 2 2a 2a 0 2a 2a 2a 2a+2 2 2 2a+2 2a+2 2a+2 2a 2a+2 2a+2 0 0 2a 0 generates a code of length 44 over GR(16,4) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+558x^124+1089x^128+915x^132+939x^136+528x^140+48x^144+3x^148+3x^152+12x^156 The gray image is a code over GF(4) with n=176, k=6 and d=124. This code was found by Heurico 1.16 in 0.0933 seconds.