The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^68+738x^69+1063x^70+1858x^71+1776x^72+2310x^73+1513x^74+2156x^75+1315x^76+1414x^77+947x^78+574x^79+231x^80+222x^81+46x^82+40x^83+17x^84+16x^85+12x^86+12x^87+2x^88+4x^89+3x^90

The gray image is a code over GF(2) with n=592, k=14 and d=272.
This code was found by Heurico 1.16 in 3.04 seconds.