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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+32x^56+46x^57+62x^58+72x^59+131x^60+400x^61+635x^62+404x^63+71x^64+56x^65+54x^66+32x^67+6x^68+8x^69+12x^70+4x^71+8x^72+2x^73+4x^74+6x^76+1x^78+1x^108

The gray image is a code over GF(2) with n=496, k=11 and d=224.
This code was found by Heurico 1.16 in 0.273 seconds.