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

generates a code of length 63 over GR(16,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+189x^176+171x^180+192x^183+198x^184+1152x^187+66x^188+1728x^191+117x^192+66x^196+60x^200+27x^204+36x^208+36x^212+27x^216+12x^220+9x^224+3x^232+3x^236+3x^244

The gray image is a code over GF(4) with n=252, k=6 and d=176.
This code was found by Heurico 1.16 in 11.7 seconds.