The generator matrix

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

generates a code of length 65 over GR(16,4) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+756x^179+513x^180+3564x^183+1239x^184+5856x^187+2313x^188+8412x^191+3048x^192+10368x^195+3627x^196+10044x^199+3093x^200+7152x^203+1815x^204+2532x^207+516x^208+444x^211+132x^212+24x^215+27x^216+24x^220+3x^224+12x^228+9x^232+12x^236

The gray image is a code over GF(4) with n=260, k=8 and d=179.
This code was found by Heurico 1.16 in 54.2 seconds.