The generator matrix

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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+98x^37+417x^38+1136x^39+3013x^40+4056x^41+8627x^42+9044x^43+12768x^44+9142x^45+8726x^46+4020x^47+2823x^48+1000x^49+442x^50+124x^51+16x^52+38x^53+25x^54+12x^55+3x^56+3x^58+2x^61

The gray image is a code over GF(2) with n=352, k=16 and d=148.
This code was found by Heurico 1.16 in 45.4 seconds.