The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+33x^46+118x^47+222x^48+426x^49+726x^50+1412x^51+2234x^52+4062x^53+4502x^54+5456x^55+4427x^56+4012x^57+2254x^58+1348x^59+743x^60+428x^61+142x^62+106x^63+34x^64+26x^65+15x^66+8x^67+19x^68+6x^69+7x^70+1x^74

The gray image is a code over GF(2) with n=440, k=15 and d=184.
This code was found by Heurico 1.16 in 11.2 seconds.