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

generates a code of length 66 over GR(16,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+171x^176+330x^180+456x^184+852x^188+2130x^192+4053x^196+4593x^200+2565x^204+402x^208+243x^212+213x^216+153x^220+126x^224+42x^228+30x^232+18x^236+6x^240

The gray image is a code over GF(4) with n=264, k=7 and d=176.
This code was found by Heurico 1.16 in 3 seconds.