The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 0 1 2a+2 1 1 1 1 2a+2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2a 2a+2 1 1 1 1 1 2a 1 1 0 0 1 2a 1 2a 1 1 2a 1 1 2a 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 2a 1 1 a+3 1 a+1 1 0 1 a+3 2a+3 1 2a 2a 3 a+1 2a+3 3a+2 a+1 a+2 2a a+1 2a+2 3 3a a 0 a+3 2a 1 0 2a+3 a+1 3 3 a+3 2a 3 3a+2 a+2 a+3 1 3a+1 2a+2 2a 1 3a+2 3a+2 a 3a+1 2a 2 2a+1 2a+1 2 1 3a+3 1 a+2 2a+2 a+1 2a+2 1 3a+2 2a+3 1 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 a a 2a 2 3 a+2 0 a+3 1 2a+3 3a+2 a+2 1 1 0 a+3 2a+3 3a+2 2 3 2 3 2a+3 a+2 2a+2 1 0 2a a 3a+3 1 0 3 3a+3 a+1 2a+2 2a 3a+1 3 2a+3 1 0 a 3a 1 1 a a+2 2a+1 a+1 a+2 1 3a+3 a+3 1 3 2a+1 2a+3 a+3 1 3a+2 0 a+3 a 0 2a 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 3a+3 2 2a a+3 a+1 a+2 2a+1 2a+2 0 a+1 2a+3 3a+1 2a+3 2a+1 1 2a+3 3a+2 2a+1 a 3a+2 a 2a+3 3a 3a+3 0 a+3 1 3 3a+1 0 2a+2 a+1 a 2a+2 2a+1 2 3 a+3 1 2a+1 0 a 2a 2a 3a+1 1 a+2 a 3a 2a+3 a+2 a+2 0 3a+2 a+1 2 2a+1 3a+3 3 1 a+3 3 3a+3 3a+1 3a+1 a+2 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2a+2 2 2 2 2a+2 2 2 2a+2 0 2a 2 0 2a 0 0 2a+2 2a 2a+2 0 2 2a 2 0 2 2a+2 2a 2a+2 2a+2 2a 2a 2a 2a 2a 2 2a 2a+2 2a 2a 0 2a 2 2 2 2a+2 2a 2a+2 2a+2 2 0 0 2a 0 0 2 2a+2 2a 0 2 2a 0 2 0 2a+2 0 2a 2 generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 222. Homogenous weight enumerator: w(x)=1x^0+588x^222+696x^223+642x^224+780x^225+2412x^226+2964x^227+1842x^228+1692x^229+5532x^230+6204x^231+3837x^232+3072x^233+9300x^234+9696x^235+5850x^236+5268x^237+14028x^238+13716x^239+8085x^240+6984x^241+16848x^242+16260x^243+9387x^244+7320x^245+17568x^246+16116x^247+9042x^248+6444x^249+14688x^250+12420x^251+5388x^252+3684x^253+7488x^254+5892x^255+2196x^256+1332x^257+3108x^258+1848x^259+618x^260+276x^261+588x^262+192x^263+120x^264+12x^265+12x^266+12x^267+30x^268+36x^272+21x^276+9x^280 The gray image is a code over GF(4) with n=324, k=9 and d=222. This code was found by Heurico 1.16 in 306 seconds.