The generator matrix

 1  0  0  1  1  1 10 14  1  1  1  6  1  1 10  4  6  1  4  1  1  1  1  8  6 12  1  1 14  1  1  1  1  1  8 14 12  1  1  1  1 10  1  1  1  1  8  1
 0  1  0  4  5  1  1  1 14  3  8  0  4 15  1 14  1  9  1 10 15  2  7  1  1 10  6  9  4  3 13  4  2 11  1  1  8  8 12  5  1  1  9 14  5  7 10  5
 0  0  1  7  3  4  3  2 15  3  2  1  1  6  5  1  0  6  1  0  5  1  4  2  3  1  3  9  1  7 15  4  7 10  9  8  1  3  6  1  8  9  2  3 14  9  1  5
 0  0  0  8  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  8  0  0  0  8  0  8  8  8  0  8  0  0  0  8  8  0

generates a code of length 48 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+159x^42+640x^43+1647x^44+2616x^45+4260x^46+4440x^47+5468x^48+4508x^49+4158x^50+2516x^51+1387x^52+544x^53+238x^54+80x^55+59x^56+12x^57+15x^58+4x^59+14x^60+2x^62

The gray image is a code over GF(2) with n=384, k=15 and d=168.
This code was found by Heurico 1.16 in 7.01 seconds.