The generator matrix

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

generates a code of length 15 over GR(16,4) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+492x^35+453x^36+924x^37+960x^38+2028x^39+2403x^40+3276x^41+2016x^42+5652x^43+8487x^44+9108x^45+4608x^46+8292x^47+8067x^48+5124x^49+1632x^50+1968x^51+27x^52+9x^56+9x^60

The gray image is a code over GF(4) with n=60, k=8 and d=35.
This code was found by Heurico 1.16 in 28.9 seconds.