The generator matrix 1 0 0 0 1 1 1 1 1 1 2 1 1 1 1 1 2 0 1 1 2 1 2a 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 2 2a+2 1 0 1 1 1 1 2a 1 1 1 2a 0 1 1 0 1 1 1 1 1 1 1 1 1 2 1 1 2a+2 2a 1 2a+2 0 1 2 1 0 1 0 0 0 0 2a+2 2a+2 2a+2 2 1 1 2a+1 2a+3 2a+1 3a+2 1 1 a+3 3 1 2a+1 1 3 2a 2a+2 2a+3 a+3 a+1 1 a 1 3a+1 2a+1 a 3a+3 2a+3 a+2 3a 2a+2 1 3a 2a+2 2a 3a+3 1 0 3a 1 3a+1 3a a 3a+2 2a 3 2a+1 3a+1 1 1 a 1 2a+2 3a+1 3a+3 3a+3 3a+2 1 3a+3 2 3 a+2 1 3a+3 3a 1 1 2a+1 1 1 3a+1 1 2a+3 0 0 1 0 0 2 0 2a+3 a 1 2a+3 3 2a 2a+3 2 2 a 3a+2 2a a+2 3 a+3 3a+3 2a 3a+2 3a+2 a+2 a 2a+1 0 3a 1 a+1 a+3 a+1 a a+3 3a+1 3a+1 a+2 3a+2 2a 1 3a+1 a+3 a 1 2 1 2a+2 2a+1 a a+1 1 a 3a+3 3a+2 2a+3 1 1 a 1 2a+1 0 2a+1 1 3a+2 3a 1 1 0 2a+1 3a+3 1 0 3 3a+3 3a+1 2a+2 a 2a 3a+2 0 0 0 1 1 3a+2 3a+3 3a+3 3a+1 a a+3 2a+2 a+3 2a+3 3a+2 3a+3 3a 3a+3 3 2a+1 2a a+2 a+2 0 2a 3a a+3 2a+3 a+3 3a+3 a+3 a+2 3a+1 2a+3 2a+3 2 a+3 2a a 2a+1 0 1 1 3a 2a+2 1 a+1 a+2 a+2 a 1 2a 3a+1 a+3 2a 3a+3 a a 2a+1 2a+2 3 3 2a+3 2a+1 2a+3 1 3a 3a+2 2a+2 1 a+2 1 3 2a a 3a+3 2a+1 2a+2 3a+1 3a+3 1 a+2 0 0 0 0 2a+2 2a 2 0 2a 2a+2 0 0 0 2a+2 2a+2 2a 2a+2 2 2 2 2a 2 2a 2a 2a+2 2 0 0 2a+2 2 0 2a 2 0 2a 2a 2a 0 2 0 0 2 2a 2a+2 2a+2 0 2a 2a+2 0 0 2a 2 2a 2a+2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2 2a 0 2a+2 0 2a+2 2a 0 2a 2 2a 2 2a 2a+2 2 2 2 2 2a+2 2a generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 225. Homogenous weight enumerator: w(x)=1x^0+516x^225+540x^226+888x^227+1098x^228+2280x^229+2472x^230+2976x^231+2115x^232+5028x^233+4608x^234+4800x^235+4443x^236+8436x^237+7404x^238+8760x^239+6312x^240+11388x^241+10812x^242+11748x^243+8445x^244+14556x^245+13356x^246+13716x^247+9579x^248+15000x^249+12828x^250+11868x^251+8127x^252+12312x^253+9348x^254+8208x^255+4893x^256+6792x^257+4584x^258+3732x^259+1737x^260+2868x^261+1404x^262+804x^263+261x^264+636x^265+228x^266+84x^267+30x^268+60x^269+6x^272+12x^276+15x^280+12x^284+12x^288+6x^296 The gray image is a code over GF(4) with n=328, k=9 and d=225. This code was found by Heurico 1.16 in 344 seconds.