The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  1  0  2  1  1  1  0  1  2  1  1  1  1  1  1  1  1  1  1  4 14  1 12  1  1  1  2  4  1  8  1  1 12  1  1  1  4  1
 0  1 11  6  5  1 13  0  1  2  3  1 14 11  1  1  9  2  7  1  6  1 11 12  9  6 12  2 10  8  4  4  1  1 12  1  7  5  4 12  1 14  1  2  6  2 14  0  5  1  0
 0  0 12  0  0  8  0 12 12  4  4  4 12  8  4  4 12  8  4  0  8  0  0  4 12  4  8  4  8  0  4 12  8  4  8  8  8  4 12  4 12  4  4  0 12 12  4  4  4 12  0
 0  0  0 12  8 12  4 12  8  0  4 12  8 12  4  8  4  4  8 12  8  8  0 12  0 12  0  4  0  4  0  8 12  0  4  8  0  4  0  4  4  4  8  4  4  8  0  4 12 12  8

generates a code of length 51 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+40x^46+258x^47+235x^48+750x^49+469x^50+720x^51+383x^52+726x^53+213x^54+192x^55+50x^56+26x^57+12x^58+10x^59+3x^60+2x^61+2x^63+2x^67+1x^70+1x^74

The gray image is a code over GF(2) with n=408, k=12 and d=184.
This code was found by Heurico 1.16 in 0.218 seconds.