The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+90x^39+524x^40+1306x^41+2792x^42+4886x^43+7262x^44+10590x^45+10747x^46+10662x^47+7121x^48+4996x^49+2702x^50+1098x^51+504x^52+120x^53+68x^54+32x^55+10x^56+10x^57+10x^58+2x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=368, k=16 and d=156.
This code was found by Heurico 1.16 in 25.5 seconds.