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

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

Homogenous weight enumerator: w(x)=1x^0+41x^56+58x^57+50x^58+36x^59+167x^60+430x^61+537x^62+414x^63+146x^64+40x^65+39x^66+24x^67+17x^68+14x^69+10x^70+6x^71+12x^72+2x^73+2x^74+1x^78+1x^114

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 0.271 seconds.