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  2  0  2 12  2  0  2 12  2  2  0  2  2  1
 0  2 12  6  0  6 12 10  0  6 10 12  0  6 12  2  0  6 12 10  8 14  4  2  0  6 12 10  8 14  4  2  0  6 12 10  8 14  4  2  8 14  4 10  8  6  4  2 14  0 10 12  8 14  4 10  8 14  4  2  8 14  4  2  6  2 10  2  6  2 10  2  0  6  2  6 14  0
 0  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  8  0  0  0  8  0  0  0  8  0  8  8  8  0  0  0  8  8  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0  8  8  8  8  0  0  0  0  0  0  8  0
 0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0

generates a code of length 78 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+4x^74+86x^75+122x^76+120x^77+314x^78+212x^79+68x^80+88x^81+6x^83+1x^88+1x^90+1x^130

The gray image is a code over GF(2) with n=624, k=10 and d=296.
This code was found by Heurico 1.16 in 0.418 seconds.