The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  0  1  1
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a  1 2a+3  2
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2  2  0 2a+2
 0  0  0  2 2a 2a  0 2a  2  2  0  2  2  2  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+63x^36+36x^37+48x^39+390x^40+180x^41+288x^43+1029x^44+300x^45+432x^47+1017x^48+252x^49+33x^52+24x^56+3x^60

The gray image is a code over GF(4) with n=60, k=6 and d=36.
This code was found by Heurico 1.16 in 0.0152 seconds.