The generator matrix

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

generates a code of length 94 over GR(16,4) who´s minimum homogenous weight is 276.

Homogenous weight enumerator: w(x)=1x^0+93x^276+192x^279+66x^280+576x^283+36x^284+33x^288+6x^296+12x^300+6x^304+3x^372

The gray image is a code over GF(4) with n=376, k=5 and d=276.
This code was found by Heurico 1.16 in 0.187 seconds.