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  2  1  2  1  1  1  1  2  1  1  4  2  1  1  1  2  1  2  1  8  2  1  1  1  2  0  2  1  1  1  2  1  2  2  0  1  1  2  1  1  2  2
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  0  4  4  0 12  8  4  0  0  4 12  4 12  4 12  4  8  8 12 12  0 12  0  8  0 12  8  4  4  4 12 12  8  8  8  8  8 12  4  8  0  4  4  4  4  8 12  8  4  4
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  0  4  8  8  4  0  0  4  0  8  0 12  0  8  4  0  4  4  8  0  8  8  8 12  8 12  4  4  4  4  0  0  4  4  4  0  0 12  0 12  4  8  4  8  4  4  4  4  0  0
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  0  4 12  8  8 12 12  4 12  0  0  8 12  8  4 12  8  8  8  8  0  0  8  4  4 12 12  0  8  0  4  4  4  0  8 12  0  0  4 12  0  8  4  0  4  4 12  0  4 12
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  8  0  0  8  0  8  0  8  0  0  0  0  8  8  8  8  0  0  0  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  8  0  8  0  0  8  8  8  0  0  0  8  0  8  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  8  8  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+64x^64+28x^65+307x^66+52x^67+206x^68+252x^69+501x^70+824x^71+1035x^72+1804x^73+1114x^74+824x^75+321x^76+196x^77+224x^78+88x^79+105x^80+24x^81+101x^82+4x^83+40x^84+51x^86+19x^88+6x^90+1x^108

The gray image is a code over GF(2) with n=584, k=13 and d=256.
This code was found by Heurico 1.16 in 2.31 seconds.