The generator matrix

 1  0  0  0  1  1  1  2 10  1  8  1  1  1 14  6  1  1 14 10  1  1 12  1  8  1  6  1  1  4  1  1  1  1 12  1  2  1  0 10  1  8  1  1  8 12  1  4  4  4  1  1 14  1  1  1  1
 0  1  0  0  0  9  5  1  1  8  1 12 15  7  2  1  6  3  0  1 14  3  6  4  1  6  1  7  7 10 13  9  4  8  1  7  2  9 12  1  1  1  9  4  1  1  9  0  1  1  5  2  8  3  6  2 11
 0  0  1  0  1  1  4  5  2 10 11  7  0 11  1 11  3 14  1 12  2  3  8  3  6  4 11 12  3  1  3  7  4  1  6  6  1  0  1  1 15 11  1 12  9  6 10  1  0  3 13  1  1  6 12  2  2
 0  0  0  1  1  4  1  1 15  9  6 10  6  5  3  0 11  8  5 12  1  4  1  0  3  6 11 11  7  0 11 14  7  2 10  4  0 11  9 11  8  4  1 14  8 12  7  2  7 11 11  7 15 14  6  6  4
 0  0  0  0 12  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4 12  4 12  8  8 12  4 12  8 12  8 12 12  8 12 12  4  8  8  8  4 12  8 12  4  8  4  4  8 12 12  8 12 12

generates a code of length 57 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+210x^49+1533x^50+3428x^51+7234x^52+12372x^53+20787x^54+28456x^55+37700x^56+37936x^57+38427x^58+28882x^59+21146x^60+12252x^61+6895x^62+2902x^63+1233x^64+478x^65+156x^66+42x^67+44x^68+16x^69+10x^70+2x^71+2x^72

The gray image is a code over GF(2) with n=456, k=18 and d=196.
This code was found by Heurico 1.16 in 538 seconds.