The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  2  1  1  1  1  2  1  1  2  1  1  1  2  1  2  1  1  1  2  1  1  1  1  1  2  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  0  0  0  8  8  0  8  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  0  0  0  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  8  0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  8  0  8  8  8  8  8  0  8  0  8  8  0  8  0  8  8  0  8  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  0  8  8  0  0  0  0  0  8  8  0  8  0  8  8  0  8  0  8  0  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+49x^48+39x^50+6x^51+68x^52+36x^53+58x^54+92x^55+49x^56+132x^57+3110x^58+120x^59+34x^60+76x^61+46x^62+36x^63+31x^64+12x^65+30x^66+2x^67+16x^68+30x^70+5x^72+12x^74+2x^76+2x^78+1x^80+1x^98

The gray image is a code over GF(2) with n=464, k=12 and d=192.
This code was found by Heurico 1.16 in 0.57 seconds.