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 0 1 1 0 1 1 1 1 2 1 1 1 1 1 0 1 1 1 2a 1 1 1 2 1 1 1 1 2 1 0 1 2 2a+2 1 1 2a 1 1 2a+2 1 1 2a+2 1 1 1 0 0 1 1 2 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 1 3a+3 2a+3 1 3a+1 1 a+2 2a+1 1 2 1 3a+2 a+3 0 2a+2 3a 3 a+1 1 a a+2 2a+1 2a 3a+3 3a+3 3a 0 1 3 1 a 1 1 2a+2 a+2 1 a 2a+3 1 a+3 a+2 2a+2 3a+3 3a+1 3a+1 1 2 3a+1 a+1 1 2a+1 2 3a+1 3a+3 2 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 2a 3a+1 3a+2 2a+3 2a+1 a+3 a+1 3a+3 a+3 a+2 2a+3 3a 3a+1 3 1 3 3a 2a+1 3a+1 2a 0 1 1 1 2a 2a a 3a+1 a+2 2a+3 2a+3 2a 3a+2 a+1 1 a+2 3a+1 0 a+3 2a 3a+3 2a+2 a+2 2a 2a+3 2a+2 1 2a+2 2a 3a 0 2a+3 2 a 2a+1 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 2a+3 2a+2 2 3 a+3 2 3a+1 3a+1 2a 3a+2 0 a 1 2 3a+3 0 3a+3 2a+3 3a+1 2 3a 3a+2 3a+2 3a+3 a+2 2a+1 3 2a 2a+1 a+1 a+3 a 0 2a+2 a a+3 2a+1 0 3a a 3a+3 1 2a+2 3a+3 3a+2 3a+3 2 1 2a+1 2a+3 2a+3 3 2a+1 a a generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 277. Homogenous weight enumerator: w(x)=1x^0+600x^277+1044x^278+432x^279+93x^280+2244x^281+2676x^282+1068x^283+105x^284+3432x^285+3984x^286+1464x^287+147x^288+4200x^289+4272x^290+1512x^291+123x^292+4740x^293+4092x^294+1308x^295+210x^296+4488x^297+4272x^298+1332x^299+177x^300+3648x^301+3624x^302+1032x^303+60x^304+2448x^305+2268x^306+720x^307+69x^308+1284x^309+996x^310+252x^311+33x^312+540x^313+384x^314+72x^315+6x^316+24x^317+36x^318+24x^319 The gray image is a code over GF(4) with n=392, k=8 and d=277. This code was found by Heurico 1.16 in 46.6 seconds.