The generator matrix

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

generates a code of length 23 over GR(16,4) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+135x^52+72x^54+333x^56+696x^58+615x^60+4176x^62+2295x^64+13296x^66+5847x^68+19176x^70+5964x^72+11736x^74+609x^76+372x^80+186x^84+27x^88

The gray image is a code over GF(4) with n=92, k=8 and d=52.
This code was found by Heurico 1.16 in 5.6 seconds.