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 1 1 1 1 1 2a+2 2 1 1 0 0 1 1 1 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 2 a+3 2a+3 3a+1 3 1 1 2a+1 2a+2 0 1 a+1 3a a+2 3a+2 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+2 2a 1 3a+3 3 2a+3 1 2a 1 2a+1 3a 3a+3 generates a code of length 42 over GR(16,4) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+1140x^120+1224x^124+831x^128+312x^132+588x^136 The gray image is a code over GF(4) with n=168, k=6 and d=120. This code was found by Heurico 1.16 in 4.05 seconds.