The generator matrix

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

generates a code of length 22 over GR(16,4) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+27x^52+204x^55+330x^56+1056x^59+513x^60+3288x^63+1071x^64+4800x^67+1257x^68+2940x^71+714x^72+111x^76+60x^80+12x^84

The gray image is a code over GF(4) with n=88, k=7 and d=52.
This code was found by Heurico 1.16 in 0.357 seconds.