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 2 1 1 1 0 2 0 0 0 0 2 2 2 2a 2 2a+2 0 2a 2a+2 2a 0 2a 2 2 0 2 2a+2 2a 2 0 2a 2 0 0 2 0 0 2 2a+2 2a 2a 2a 2 0 2 2a+2 2a 0 2a 2a+2 2 2 2 2 0 0 2a 2a+2 2a 2 0 0 0 2 0 2a+2 0 2 2a 2a 2a 2a+2 2a 0 2a 2 0 2 2 2a 2a 0 0 2a+2 2 2a+2 2a+2 2 0 0 0 0 2 2 2 2a+2 2 0 2a+2 2a 0 2a+2 0 2a 2 2a+2 2 2 2a 2a+2 2 2a+2 2 2a+2 0 0 generates a code of length 28 over GR(16,4) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+135x^72+174x^76+171x^80+768x^81+135x^84+2304x^85+141x^88+105x^92+84x^96+57x^100+12x^104+9x^108 The gray image is a code over GF(4) with n=112, k=6 and d=72. This code was found by Heurico 1.16 in 0.0696 seconds.