The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^60+45x^64+768x^66+39x^68+15x^72+30x^76+15x^84+3x^88

The gray image is a code over GF(4) with n=88, k=5 and d=60.
This code was found by Heurico 1.16 in 0.031 seconds.