The generator matrix

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

generates a code of length 15 over GR(16,4) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+147x^36+228x^37+384x^38+96x^39+1023x^40+1044x^41+768x^42+576x^43+2958x^44+1836x^45+1152x^46+864x^47+2979x^48+1500x^49+768x^50+39x^52+21x^56

The gray image is a code over GF(4) with n=60, k=7 and d=36.
This code was found by Heurico 1.16 in 0.172 seconds.