The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1
 0  1  1  a 3a+3  0 2a+3  a a+1  1 2a+3 a+1  0  1  0
 0  0 2a+2  0  0  2  0 2a 2a 2a+2 2a+2 2a  2  0  0
 0  0  0  2  0 2a+2 2a 2a+2  0 2a+2 2a+2 2a+2  2  2  0
 0  0  0  0 2a+2  2  2 2a+2 2a 2a  2  0 2a+2  0  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+39x^32+12x^33+285x^36+144x^37+192x^39+1467x^40+648x^41+1152x^43+4080x^44+1296x^45+1728x^47+4098x^48+972x^49+189x^52+75x^56+6x^60

The gray image is a code over GF(4) with n=60, k=7 and d=32.
This code was found by Heurico 1.16 in 0.185 seconds.