The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+62x^36+52x^37+185x^38+282x^39+337x^40+934x^41+1030x^42+2662x^43+3182x^44+5268x^45+4740x^46+5322x^47+3218x^48+2702x^49+1035x^50+882x^51+304x^52+238x^53+147x^54+68x^55+59x^56+20x^57+22x^58+4x^60+2x^61+8x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=368, k=15 and d=144.
This code was found by Heurico 1.16 in 13.3 seconds.