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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+448x^68+80x^69+792x^70+256x^71+1277x^72+672x^73+1472x^74+704x^75+1036x^76+272x^77+528x^78+64x^79+363x^80+128x^82+67x^84+24x^86+7x^88+1x^116

The gray image is a code over GF(2) with n=592, k=13 and d=272.
This code was found by Heurico 1.16 in 34.2 seconds.