The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+130x^48+36x^49+270x^50+196x^51+691x^52+860x^53+1132x^54+3064x^55+2387x^56+6064x^57+3096x^58+6112x^59+2441x^60+3072x^61+1140x^62+840x^63+573x^64+204x^65+218x^66+28x^67+142x^68+4x^69+32x^70+27x^72+5x^76+2x^80+1x^84

The gray image is a code over GF(2) with n=464, k=15 and d=192.
This code was found by Heurico 1.16 in 19.4 seconds.