The generator matrix

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

generates a code of length 22 over GR(16,4) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+288x^62+183x^64+192x^66+288x^70+72x^72

The gray image is a code over GF(4) with n=88, k=5 and d=62.
This code was found by Heurico 1.16 in 0.063 seconds.