The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  2  1  1  4  1  1  1  0  1  1  1  1 12  2  1  8  1  1  1  4  1  1  1  2  1
 0  2  0  6  4 14 12  2  0  6 12 10  8  2 14  2 14 12  0  6  8  2  2  4 10 12  2  2  6  4 12  2 14  0  2 12 12  8  2 10  8 14  6  8
 0  0 12  0  4  4  8  4  0  8  0  8  4  4  8 12 12  4  0  0 12  4 12 12  0  0  0  8 12  4 12  8  4  4  4  0  4  8  4 12 12  4  0  4
 0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  8  0  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  8  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  0  0  0  8  8  8  8  8  8  0  8  0  0

generates a code of length 44 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+43x^38+58x^39+241x^40+288x^41+283x^42+816x^43+673x^44+816x^45+272x^46+270x^47+232x^48+42x^49+34x^50+4x^51+3x^52+4x^53+4x^54+4x^55+2x^56+2x^57+3x^58+1x^70

The gray image is a code over GF(2) with n=352, k=12 and d=152.
This code was found by Heurico 1.16 in 0.284 seconds.