The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+237x^68+732x^69+1036x^70+1702x^71+1568x^72+2250x^73+1836x^74+2194x^75+1400x^76+1446x^77+880x^78+558x^79+211x^80+122x^81+82x^82+42x^83+24x^84+42x^85+12x^86+6x^88+1x^92+2x^98

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 3.87 seconds.