The generator matrix 1 0 0 0 1 1 1 1 1 1 2 1 1 1 1 1 2 0 1 2a+2 1 1 1 2a+2 1 0 2a+2 1 1 1 1 1 1 2a 1 1 1 1 0 1 1 1 1 1 0 1 2a+2 1 1 1 2a+2 1 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 2a+2 1 1 1 2 1 0 2a 2a+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 1 2a+3 2a+3 a+1 1 0 1 1 2a+2 3 a+2 1 3a 3 1 3a 3a+2 a 2a+3 1 3a+1 2a+1 3 2 2a 0 a+3 1 a+1 a+3 2 2a+2 3a+3 0 a+1 0 1 a a+1 0 2 a 3a 1 3a+3 3a+2 a+3 a+3 3a+3 2 3a+1 a+3 2a 1 2a+3 2a 2 a 3a+3 3a+1 1 3a 3a+2 3a 0 2a 1 1 1 3a+1 0 0 1 0 0 2 0 2a+3 a 1 2a+3 3 2a 2a+3 2 2 a 3a+2 2a 1 3a a 2 1 a a+2 a+1 2a+1 3a+3 0 0 3a+2 3a 3a+3 2a+3 3a 3 2 a+2 3a+2 3 3a+1 a+3 a+3 1 3 3a+3 a+1 2a+3 2a+1 1 2a+3 1 a 1 a 2a+3 3a 3a 3a+3 3a+1 a+3 2a a+3 3 1 0 a a+2 a+3 2a+3 2a+3 2a+1 2a+1 2 a+2 1 2a+1 a+2 2a+1 2a a+3 3a+3 1 3a+1 a+3 1 1 3a+3 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+2 0 3a+2 2 2a+1 3a 2a 3 2a+3 2 2 2 2a+1 3 3a+2 2 a+3 a 2a+1 a+1 a+1 3a+1 3a+2 2a 3a+2 3a+3 a 2 2a+3 1 3a 2a+1 3a+2 a+2 3a 3 a 3a+1 1 a+1 3a+1 3a+3 2a 3a 0 1 a+3 3a+1 0 2a+1 3a+1 0 a+3 3a a+3 3a+2 2a+1 1 1 3a+1 3a+2 a+2 3 2a+2 2a+1 a+1 2 3a+3 2a+2 1 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+2 0 0 0 2a+2 0 2 2a+2 2a 2a 2 2a 2 2 2a+2 2a 2a+2 2 2a+2 0 2a 2a 2a 2 0 0 2 2 2a+2 0 2a+2 2a+2 2 2a 2a+2 0 2a+2 2 0 2 0 0 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 2a 2a+2 2a 0 0 2a 2a 2a 2a 2 2a 0 0 2a 2a+2 2 2a 2a+2 generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 245. Homogenous weight enumerator: w(x)=1x^0+312x^245+468x^246+648x^247+1041x^248+2052x^249+1572x^250+2556x^251+2589x^252+4536x^253+3804x^254+4800x^255+4071x^256+7932x^257+6384x^258+6984x^259+6450x^260+11892x^261+8796x^262+9672x^263+9420x^264+14688x^265+11388x^266+10836x^267+9807x^268+16032x^269+11616x^270+10428x^271+9342x^272+14064x^273+9684x^274+8256x^275+5856x^276+9468x^277+5352x^278+4968x^279+3390x^280+3804x^281+1968x^282+1848x^283+1002x^284+1056x^285+396x^286+396x^287+165x^288+180x^289+12x^290+48x^291+60x^292+30x^296+12x^300+3x^304+9x^312 The gray image is a code over GF(4) with n=356, k=9 and d=245. This code was found by Heurico 1.16 in 343 seconds.