The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^48+62x^50+437x^52+774x^54+2399x^56+4468x^58+4537x^60+2276x^62+861x^64+334x^66+103x^68+22x^70+32x^72+11x^76+4x^80+1x^88

The gray image is a code over GF(2) with n=472, k=14 and d=192.
This code was found by Heurico 1.16 in 5.23 seconds.