The generator matrix

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

generates a code of length 28 over GR(16,4) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+378x^76+906x^80+1470x^84+1056x^88+246x^92+21x^96+18x^100

The gray image is a code over GF(4) with n=112, k=6 and d=76.
This code was found by Heurico 1.16 in 0.0378 seconds.