The generator matrix

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

generates a code of length 23 over GR(16,4) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+48x^67+42x^68+96x^69+48x^71+12x^72+6x^76+3x^80

The gray image is a code over GF(4) with n=92, k=4 and d=67.
This code was found by Heurico 1.16 in 0.047 seconds.