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

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

Homogenous weight enumerator: w(x)=1x^0+83x^48+136x^49+213x^50+276x^51+365x^52+432x^53+554x^54+930x^55+1795x^56+3562x^57+5171x^58+5754x^59+5195x^60+3544x^61+1833x^62+960x^63+551x^64+380x^65+323x^66+236x^67+178x^68+120x^69+89x^70+30x^71+22x^72+18x^73+8x^74+6x^75+2x^76+1x^98

The gray image is a code over GF(2) with n=472, k=15 and d=192.
This code was found by Heurico 1.16 in 24.6 seconds.