The generator matrix

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

generates a code of length 22 over GR(16,4) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+369x^60+276x^61+264x^62+216x^63+627x^64+396x^65+240x^66+48x^67+318x^68+396x^69+264x^70+120x^71+468x^72+84x^73+9x^76

The gray image is a code over GF(4) with n=88, k=6 and d=60.
This code was found by Heurico 1.16 in 0.032 seconds.