The generator matrix

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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+94x^69+427x^70+1018x^71+1428x^72+2490x^73+3364x^74+5276x^75+6301x^76+8764x^77+7964x^78+8228x^79+6075x^80+5522x^81+3305x^82+2380x^83+1293x^84+696x^85+403x^86+242x^87+93x^88+76x^89+53x^90+18x^91+8x^92+6x^93+4x^94+4x^95+2x^99+1x^104

The gray image is a code over GF(2) with n=624, k=16 and d=276.
This code was found by Heurico 1.16 in 61 seconds.