The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+128x^69+663x^70+884x^71+1354x^72+964x^73+1084x^74+792x^75+788x^76+444x^77+391x^78+268x^79+207x^80+76x^81+97x^82+24x^83+8x^84+4x^85+12x^86+2x^88+1x^98

The gray image is a code over GF(2) with n=592, k=13 and d=276.
This code was found by Heurico 1.16 in 0.952 seconds.