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  1  1  1  1  1  1  1  2  2  1  1  2  1  2  1  2  2  4  1  1  4  2  4  1  4  2  1  2  1  1  0  0  1  4  2
 0 12  0  0  0  4 12  4  0  8  4 12  0  8 12  0  4  4  8  4 12 12  8  4 12 12  0  8 12  0  4 12  4  8  0  4 12 12  0  4  0 12 12  0 12 12  4 12  0  8  8  0 12  0  4  8  8  0  4
 0  0 12  0  4  4 12  0  0  0  4  8  4  4  0  8  4  4 12  8 12  0  8  4  4  0  8  4  0 12  0  0 12  4  8  8  8  8 12  8  4 12  0  0  0  0  0 12  0  4 12  4  8  8  8  0  4  8  8
 0  0  0 12  4  0 12  4  0  4 12  8 12  0  4  8  8  8  4  0  4  4 12  0  4  4  4  4  8  0  4  0  0  0  8 12  4  0 12  4 12  4  8  4  8  8 12  0 12  0  8  0  0  0  0  4  4  4  4
 0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  0  8  0  8  0  0  0  8  8  0  8  8  0  0  8  8  0  8  8  8  0  0  8  0  8  8  8  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  8  0  0  8  8  0  0  0  0  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  8  0  0  8  8  8  0  8  8
 0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  0  0  0  8  8  8  0  8  0  8  8  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+119x^50+188x^51+244x^52+246x^53+400x^54+618x^55+1115x^56+1740x^57+2219x^58+2498x^59+2241x^60+1752x^61+1139x^62+644x^63+387x^64+222x^65+171x^66+128x^67+89x^68+66x^69+44x^70+18x^71+17x^72+12x^73+3x^74+2x^75+1x^76+1x^78+1x^84

The gray image is a code over GF(2) with n=472, k=14 and d=196.
This code was found by Heurico 1.16 in 6.91 seconds.