The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  0  1  1
 0  1  0  0  1 2a+2  1  a 2a+3 2a+2  2  3  1 3a+3 2a+2
 0  0  1  0 3a+3  1  1  3  a 3a+3 2a+1  0 a+3 a+1  3
 0  0  0  1  1  a a+2 a+1  a 3a 2a+3 2a 3a  0 3a
 0  0  0  0 2a+2  0 2a  2  2 2a  2 2a 2a 2a+2 2a+2

generates a code of length 15 over GR(16,4) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+339x^32+264x^33+636x^34+624x^35+2517x^36+3360x^37+3216x^38+3264x^39+13161x^40+14832x^41+12648x^42+15264x^43+35514x^44+39072x^45+23952x^46+21696x^47+35514x^48+22344x^49+8700x^50+2160x^51+2985x^52+57x^56+24x^60

The gray image is a code over GF(4) with n=60, k=9 and d=32.
This code was found by Heurico 1.16 in 33.4 seconds.