The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2a 1 1 2 1 2a 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 2a 0 2a 0 1 1 1 0 2 1 1 1 2a+2 1 1 1 1 1 1 1 2 1 1 1 1 2a+2 1 1 1 2 2 1 1 2a+2 2a+2 1 1 1 1 1 1 1 2a+2 1 2a+2 2 1 1 1 1 1 1 0 1 0 0 2a+2 2a 2a+2 2 2 2 1 3a+2 3a+3 2a+3 1 3a+1 2a+3 a+2 a 1 2 2a+2 2a 1 a+3 3a+2 1 3a 1 a a+3 3 3 3 3a+3 1 3a+1 2a 0 a+2 3a+2 2a a+1 2a+1 2a+1 1 1 2a 1 3a+3 1 3 1 1 2 a+3 a+1 1 a a+2 2a a+3 3a a+3 2a+3 1 3a+3 3a 3a+2 3a 1 0 3a+3 2 1 2a 1 2a+2 2 1 1 a+1 3a 3a+1 3 a+2 3a+2 1 0 1 1 a+3 2a 3a 1 3a+1 2a+1 0 0 1 0 0 2 2 2a+3 a a+1 2a 2 2a+2 2a+2 0 3a+3 2a+1 3a 1 3a a+2 1 2a+3 3 3a a 3 a+3 3a+2 a 2a+3 3a+3 1 2a+2 2 a+2 a+2 a+3 1 2a+3 3 a+2 3a 3a+3 3a 3a 2a+3 1 2a 3a+1 a+3 3 3a+1 0 3a+3 3a+1 a 2 3a+3 3 3a+1 2a a a+2 2a+1 a+3 2a+2 2 0 3a+2 3a+1 3 a+3 3a+3 3a+3 1 2a a+3 1 3a+1 3a+2 2a+1 3a+1 a+3 2a 2a+3 3a 0 1 2a 0 2a+2 3a 3a a+2 2a+2 3 0 0 0 1 1 3a+2 a+1 a+1 3a+3 a+3 3a+1 3a+1 3a+1 3a+2 3 3a 3 2 2a 3a+2 0 2a+1 a 3a a+3 a+1 2a+2 3a 3 2a+3 2 2a+3 a+3 2a+2 0 a+2 3 1 1 1 a+2 2a+3 3a 3a+1 0 2a 3 a+3 2a+3 a+3 2 2 3a+1 a 3a+2 2a+2 2 3a+1 1 a+1 3a+1 a 3a+2 3 a+2 2a 3 2a 3a+2 0 2a+1 2 2a+2 2a 3a 3a+2 a+3 2a+3 2a 2a+3 1 2a+3 2a+2 3 a 0 3 a+2 2a+1 3 2 3a+3 a 2a+3 a a+1 3a+3 generates a code of length 97 over GR(16,4) who´s minimum homogenous weight is 274. Homogenous weight enumerator: w(x)=1x^0+420x^274+624x^275+774x^276+744x^277+1524x^278+1824x^279+1920x^280+1296x^281+2760x^282+3036x^283+1995x^284+1560x^285+2736x^286+3120x^287+3156x^288+1980x^289+2748x^290+3192x^291+2556x^292+1740x^293+2580x^294+3000x^295+2496x^296+1428x^297+2364x^298+2712x^299+1752x^300+1152x^301+1764x^302+1416x^303+1152x^304+612x^305+1212x^306+768x^307+417x^308+180x^309+276x^310+240x^311+144x^312+60x^313+48x^314+36x^315+15x^316+3x^320+3x^324 The gray image is a code over GF(4) with n=388, k=8 and d=274. This code was found by Heurico 1.16 in 31.8 seconds.