The generator matrix

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

generates a code of length 23 over GR(16,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+90x^56+132x^59+525x^60+192x^61+384x^63+1470x^64+576x^65+936x^67+3726x^68+1344x^69+1056x^71+3726x^72+960x^73+564x^75+537x^76+99x^80+60x^84+6x^88

The gray image is a code over GF(4) with n=92, k=7 and d=56.
This code was found by Heurico 1.16 in 0.387 seconds.