The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+40x^50+212x^52+32x^53+174x^54+320x^55+318x^56+1504x^57+224x^58+2432x^59+295x^60+1504x^61+220x^62+320x^63+234x^64+32x^65+104x^66+101x^68+6x^70+36x^72+14x^76+3x^80+1x^84+1x^92

The gray image is a code over GF(2) with n=472, k=13 and d=192.
This code was found by Heurico 1.16 in 1.77 seconds.