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 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 2 1 2a 1 1 1 2a+2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2a+2 2a 1 1 1 1 1 1 1 0 2a+2 2a 1 2a 1 1 1 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 1 a+2 3a 3 3a 2a+1 2 3a+1 a+1 3a a 3a+3 2a+2 3a+2 3a+3 2a+1 2a+2 1 2a+2 3a+2 1 3a+3 a+1 3a+1 1 3a+1 2a+1 a+3 0 1 2a 3a+2 2a+3 2a+2 3a+1 2a+2 a+3 3a+1 a 3a+2 2a+3 1 3a+2 1 3a+3 1 1 a+1 2 2 3a+3 2a 3a+2 0 1 2a 1 a+3 1 3a 2a+3 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 1 3a a 2 1 a a+2 a+1 2a+1 3a+3 0 0 3a+2 3a 2a+3 3a+2 3a+1 3 3a+2 2a+3 a a 1 3 a 3a+3 3a+2 2a+1 1 0 2a a+1 2a+2 2a 3a+1 a+3 a+3 3a a 3a 3a+2 3a 1 3a+1 2 2 2a+1 3a+3 3a+1 2a 2a+2 2a+2 a+2 a+3 3a+3 a+2 3 3a 2a+2 3a+3 2a 3a+2 3a+1 a+1 3 1 2a a+1 3a+3 3a 2a+1 2a a+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 2 3a+1 3 a+3 2a+2 a+2 a+3 3a 2a+2 3a+3 3a+1 3a+1 1 a 1 3a+2 3 3 3a+3 0 3a+2 3a+1 2a 2a+3 2a+3 a 2a+2 a+3 a+3 a a+2 2 2 a+3 2a+2 3a 3 2a 2a+2 a+1 2a+2 2a+1 a+3 3a+2 a+2 2 a+2 2a+2 a+2 3a+1 3a+2 a+3 a+3 3a+2 0 3a+1 a+2 3a 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 2a+2 2a 2 2 2a 2a 0 2 2a+2 2 2 2a 2a+2 2a+2 0 2 2 2 2 2a 0 2a 2 2a 2a+2 2a+2 2a+2 2a+2 0 2 2a+2 2a+2 0 2 2 2a 2 2a 2a 2a 0 2 2a+2 2a 2a+2 2a+2 2a 2 0 2a+2 0 0 2 2a+2 2a 2 2a+2 2a 0 0 0 0 generates a code of length 92 over GR(16,4) who´s minimum homogenous weight is 254. Homogenous weight enumerator: w(x)=1x^0+276x^254+588x^255+717x^256+756x^257+2040x^258+2568x^259+3000x^260+2124x^261+4116x^262+4896x^263+4956x^264+3528x^265+6696x^266+8784x^267+7761x^268+5196x^269+9768x^270+11136x^271+9552x^272+7080x^273+12552x^274+14184x^275+11367x^276+8076x^277+13764x^278+14688x^279+11250x^280+7632x^281+11688x^282+11628x^283+9513x^284+5160x^285+7956x^286+7716x^287+5118x^288+2436x^289+3648x^290+3000x^291+1815x^292+816x^293+1056x^294+624x^295+396x^296+168x^297+144x^298+60x^299+21x^300+36x^301+24x^302+24x^304+18x^308+12x^312+6x^316+6x^328+3x^332 The gray image is a code over GF(4) with n=368, k=9 and d=254. This code was found by Heurico 1.16 in 357 seconds.