The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+40x^64+134x^65+396x^66+914x^67+1455x^68+2290x^69+3577x^70+5190x^71+6562x^72+7862x^73+8679x^74+8010x^75+6797x^76+5172x^77+3565x^78+2192x^79+1099x^80+676x^81+427x^82+236x^83+93x^84+46x^85+50x^86+30x^87+14x^88+12x^89+10x^90+4x^91+3x^92

The gray image is a code over GF(2) with n=592, k=16 and d=256.
This code was found by Heurico 1.16 in 58.9 seconds.