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

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

Homogenous weight enumerator: w(x)=1x^0+159x^64+12x^65+356x^66+40x^67+612x^68+132x^69+774x^70+728x^71+1789x^72+2164x^73+3054x^74+2144x^75+1793x^76+732x^77+674x^78+152x^79+432x^80+32x^81+278x^82+8x^83+146x^84+96x^86+51x^88+16x^90+8x^92+1x^108

The gray image is a code over GF(2) with n=592, k=14 and d=256.
This code was found by Heurico 1.16 in 9.06 seconds.