The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  4  1  1  2  8  4  2  1  1  1  1  0  1  1  1  4  4  4
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  0  0  0  4 12  4  0  4  4  4 12  8  8  4  4 12  8  4 12  4  4 12  4
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  8 12  8  4  4  4  4  4  4  4  4  4  4  0  0  4  8  0  0  4  0  4  8
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  0  0  8  4 12  0  4 12  0  8 12  0  0  8  0  0  4  8 12  8 12  4 12
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  8  8  8  0  8  8  0  8  0  0  0  8  0  0  0  8  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  0  0  8  8  0  8  8  8  0  0  0  0  0  0  0  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  0  8  8  0  8  0  8  8  8  0

generates a code of length 45 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+46x^37+82x^38+130x^39+245x^40+264x^41+712x^42+650x^43+1493x^44+934x^45+1655x^46+638x^47+612x^48+234x^49+203x^50+94x^51+76x^52+52x^53+27x^54+24x^55+2x^56+6x^57+9x^58+2x^60+1x^68

The gray image is a code over GF(2) with n=360, k=13 and d=148.
This code was found by Heurico 1.16 in 1.12 seconds.