The generator matrix

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

generates a code of length 19 over GR(16,4) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+135x^40+297x^44+336x^45+636x^48+2880x^49+2229x^52+10080x^53+5820x^56+19008x^57+6105x^60+16848x^61+735x^64+267x^68+129x^72+30x^76

The gray image is a code over GF(4) with n=76, k=8 and d=40.
This code was found by Heurico 1.16 in 3.89 seconds.