The generator matrix

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

generates a code of length 64 over GR(16,4) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+636x^177+1020x^178+552x^179+78x^180+2448x^181+2928x^182+984x^183+147x^184+3852x^185+4200x^186+1656x^187+243x^188+5280x^189+5280x^190+2004x^191+147x^192+5388x^193+6048x^194+1596x^195+120x^196+5328x^197+4524x^198+1560x^199+198x^200+3588x^201+2868x^202+600x^203+78x^204+1056x^205+660x^206+252x^207+72x^209+120x^210+12x^211+6x^212+3x^216+3x^220

The gray image is a code over GF(4) with n=256, k=8 and d=177.
This code was found by Heurico 1.16 in 17.7 seconds.