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

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

Homogenous weight enumerator: w(x)=1x^0+105x^74+128x^75+332x^76+344x^77+382x^78+336x^79+199x^80+40x^81+69x^82+32x^83+47x^84+16x^85+12x^86+4x^88+1x^148

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 0.542 seconds.