The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+108x^67+500x^68+1490x^69+2075x^70+3076x^71+3337x^72+4402x^73+3355x^74+4492x^75+3134x^76+2768x^77+1648x^78+1190x^79+672x^80+276x^81+76x^82+86x^83+33x^84+22x^85+13x^86+6x^87+2x^88+2x^89+1x^90+2x^91+1x^92

The gray image is a code over GF(2) with n=592, k=15 and d=268.
This code was found by Heurico 1.16 in 12.1 seconds.