The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 0 1 1 0 1 1 2 1 1 2a 1 0 0 1 0 0 0 2 2 2a+3 2a+1 1 3a a+2 3a+3 a+3 a+1 2a 3a 1 a a+2 2 3a+3 2a+1 1 3 3a+2 1 2a+2 2a 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 a 3a+1 3a+2 3a+3 0 3a 3a+1 2a+2 2a+1 1 3 a+1 0 2a+3 3a+2 a a 1 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 3a+1 2 2a+3 3a+1 a+2 0 2a+2 2a+1 3a+3 3a+1 2a+1 2 3a+1 3a+1 2a+1 2a+3 2 a+1 0 0 0 0 2 0 2a 0 0 0 2 2 2a 2a 2 2a 2a+2 2a 0 2a+2 2 0 2 2a+2 2a+2 2a+2 2a 2a+2 0 generates a code of length 29 over GR(16,4) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+393x^72+708x^73+792x^74+1224x^75+2658x^76+3684x^77+3672x^78+3972x^79+8343x^80+10092x^81+8952x^82+9024x^83+19932x^84+19512x^85+16848x^86+18264x^87+30627x^88+24684x^89+17640x^90+12696x^91+19023x^92+13380x^93+7320x^94+3972x^95+2898x^96+1668x^97+72x^98+33x^100+36x^104+15x^108+6x^112+3x^116 The gray image is a code over GF(4) with n=116, k=9 and d=72. This code was found by Heurico 1.16 in 99.4 seconds.