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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+151x^36+220x^38+681x^40+176x^41+972x^42+944x^43+2837x^44+2864x^45+5290x^46+4272x^47+5551x^48+2960x^49+2720x^50+912x^51+1163x^52+144x^53+456x^54+16x^55+303x^56+68x^58+55x^60+2x^62+8x^64+2x^68

The gray image is a code over GF(2) with n=376, k=15 and d=144.
This code was found by Heurico 1.16 in 17.5 seconds.