The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+58x^49+132x^50+208x^51+367x^52+676x^53+950x^54+1960x^55+1801x^56+4364x^57+2905x^58+5906x^59+2982x^60+4480x^61+1780x^62+1952x^63+856x^64+594x^65+332x^66+188x^67+101x^68+60x^69+36x^70+24x^71+29x^72+8x^73+7x^74+2x^75+6x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=472, k=15 and d=196.
This code was found by Heurico 1.16 in 21.3 seconds.