The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+292x^37+614x^38+1440x^39+2328x^40+4024x^41+4926x^42+5672x^43+4860x^44+4054x^45+2279x^46+1346x^47+506x^48+268x^49+76x^50+52x^51+14x^52+2x^53+9x^54+2x^55+3x^56

The gray image is a code over GF(2) with n=344, k=15 and d=148.
This code was found by Heurico 1.16 in 10.2 seconds.