The generator matrix

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

generates a code of length 63 over GR(16,4) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+108x^175+504x^176+204x^177+252x^179+1284x^180+384x^181+504x^183+1614x^184+456x^185+684x^187+2106x^188+720x^189+540x^191+2409x^192+876x^193+660x^195+1605x^196+336x^197+288x^199+537x^200+96x^201+36x^203+48x^204+39x^208+24x^212+33x^216+18x^220+15x^224+3x^228

The gray image is a code over GF(4) with n=252, k=7 and d=175.
This code was found by Heurico 1.16 in 18.7 seconds.