The generator matrix

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

generates a code of length 41 over GR(16,4) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+24x^121+36x^122+144x^123+3x^124+24x^125+12x^126+9x^132+3x^136

The gray image is a code over GF(4) with n=164, k=4 and d=121.
This code was found by Heurico 1.16 in 0.016 seconds.