The generator matrix

 1  0  0  1  1  1  1  1 2a+2  1 2a+2  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1 2a  1  0  1 2a  1  1  1  2  1  1  1  1 2a+2  1 2a 2a  0  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1 2a 2a+2  0  1  1  1  1 2a+2  1 2a+2 2a  1  1  1  1  1  1  1 2a 2a+2  1  1  1  2  1  1  1  1  1  0  1 2a+2  1  1  1  1 2a  1  1
 0  1  0  0  0 2a+2 2a+3  1  1  1  1 3a+2 3a+3  a 3a+3 2a+3  1  a a+1 3a a+1 2a+2 3a+2  a  1 3a+3  1 2a+3 2a  1  1 a+2 2a+2 2a+3  1 3a+2 3a+3 a+3 2a+2  1 2a  1  1 2a  0 a+1 2a+2 a+2  1 2a+3 a+2 a+1  3 3a  a  1 a+3 2a  2  1  1  1 2a+2 2a+2  a 3a 2a  a  1 2a+2 2a  a 3a+3 2a+2  0 a+2  1  1  2  0 2a+1 2a+1  1 3a  3  3  0  1  1 2a+1  1 2a+3 3a a+2 2a+3  1  0 3a+3
 0  0  1  1  a 3a+3 a+2  3 3a+3 3a+3  1  1 3a+1  2 2a+1  0 a+2  a 3a a+1 2a 3a+3 3a+2 2a  a 3a  0 3a+1  1 2a+3 2a+3 a+3  1 2a a+1  1  3 a+3 2a 3a 3a a+2 2a+2  1 a+3 2a+1  2 3a 2a+3 3a+2 a+1 a+3 2a+2 2a 3a+1 2a+1  0 3a  2 3a+2  1 a+3 a+2 a+3 a+1 2a+2  1  2 2a+3  1  1  1 3a+2 a+1  3  1 a+3  1  1  a  0 a+3 2a+1  3 2a+1 2a+2 3a+2 3a+2 2a+2  2 a+3 3a+2 2a+3 3a+2 a+1 3a+2 2a+3 2a+3
 0  0  0 2a+2  0  0  0 2a+2 2a+2 2a 2a 2a 2a+2 2a+2  2  2  2  2  2  2 2a  0  2  2  0  2  2  0 2a+2 2a+2  2 2a+2 2a+2 2a  2  0  2  0 2a 2a 2a  0 2a+2  0 2a  0 2a+2  0  2  2 2a+2 2a  2  0 2a+2  2 2a+2  0  2 2a+2 2a+2 2a 2a 2a+2 2a 2a+2  2  0  0  0  2  2 2a+2 2a+2  0  0  0  0 2a+2  2 2a+2  0 2a 2a+2  0 2a+2 2a+2  0  2 2a  0 2a+2  0  2  2 2a+2  2  2
 0  0  0  0  2  0  2  0  2 2a 2a+2  0 2a+2 2a  0 2a+2 2a  0  0 2a 2a+2 2a+2  2  2  0 2a 2a 2a 2a+2 2a  0  0 2a+2 2a  0 2a+2 2a+2 2a+2  0 2a  0 2a 2a  2 2a+2 2a  0 2a 2a  0 2a 2a  0 2a 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a  0  2  2  2  2  2 2a+2 2a+2 2a+2 2a  2 2a 2a+2 2a+2  2  2  0  2 2a+2  2 2a+2  2  0  0  0 2a+2  0  0 2a+2  0  2 2a 2a  2  2  0 2a+2

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 276.

Homogenous weight enumerator: w(x)=1x^0+882x^276+300x^277+744x^279+2583x^280+852x^281+1128x^283+4440x^284+1584x^285+1620x^287+6120x^288+1920x^289+1956x^291+6576x^292+2256x^293+2424x^295+6612x^296+1812x^297+1908x^299+6078x^300+1524x^301+1332x^303+4368x^304+1332x^305+828x^307+2097x^308+540x^309+312x^311+900x^312+120x^313+36x^315+195x^316+36x^317+42x^320+12x^321+24x^324+24x^328+9x^332+3x^336+3x^340+3x^344

The gray image is a code over GF(4) with n=392, k=8 and d=276.
This code was found by Heurico 1.16 in 31.3 seconds.