The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1 14  1  1  1  1  0 12  2  6 10  4  1  1  2  1  1  1  1  8  1  1  6  1  1  1  4  1 10  1  1  1  1  0 12 12  6  2 14  6  2  8  8  4  4  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1  4 15 10  1  1  1  1  1  1  1  0 15  1 13  4  3 10  1  0  7  1  9 14  9  1 11  1 12 10  6  5  1  2  1  1  1  1  1  1  1  1  1  1 11  5  6  1 11  0 12  6 10  3  1  8  9 13  8  2  0
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  4  4  8  0 12  0  0  4  0  8 12  0  8  0  4 12  8  0  4 12  4  0  8 12  4  4  4  0  0 12  0  8 12  8  4 12  4  8  4 12  0  8  0  8  0 12  8  4  0  8 12 12  8  4  8  8  0  4 12  8  0
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+74x^74+334x^75+294x^76+288x^77+213x^78+230x^79+190x^80+232x^81+109x^82+66x^83+10x^84+2x^86+1x^94+2x^95+1x^104+1x^106

The gray image is a code over GF(2) with n=624, k=11 and d=296.
This code was found by Heurico 1.16 in 0.489 seconds.