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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+28x^58+58x^59+54x^60+76x^61+307x^62+132x^63+798x^64+148x^65+279x^66+48x^67+30x^68+24x^69+11x^70+12x^71+11x^72+4x^73+10x^74+6x^75+2x^76+4x^77+4x^78+1x^114

The gray image is a code over GF(2) with n=512, k=11 and d=232.
This code was found by Heurico 1.16 in 0.296 seconds.