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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+96x^38+4x^39+243x^40+112x^41+316x^42+272x^43+1173x^44+1136x^45+1537x^46+1176x^47+1168x^48+272x^49+252x^50+80x^51+178x^52+16x^53+86x^54+4x^55+43x^56+16x^58+9x^60+1x^62+1x^64

The gray image is a code over GF(2) with n=368, k=13 and d=152.
This code was found by Heurico 1.16 in 2.1 seconds.