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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+62x^37+142x^38+182x^39+261x^40+372x^41+533x^42+874x^43+1606x^44+2658x^45+3132x^46+2520x^47+1639x^48+964x^49+459x^50+320x^51+254x^52+142x^53+109x^54+66x^55+47x^56+24x^57+8x^58+6x^59+2x^61+1x^62

The gray image is a code over GF(2) with n=368, k=14 and d=148.
This code was found by Heurico 1.16 in 4.62 seconds.