The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+71x^48+132x^49+405x^50+786x^51+1396x^52+1664x^53+2475x^54+2590x^55+2609x^56+1610x^57+1262x^58+754x^59+371x^60+100x^61+63x^62+20x^63+27x^64+14x^65+13x^66+8x^67+5x^68+5x^70+2x^71+1x^78

The gray image is a code over GF(2) with n=440, k=14 and d=192.
This code was found by Heurico 1.16 in 3.05 seconds.