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

generates a code of length 60 over GR(16,4) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+30x^156+261x^160+381x^164+426x^168+192x^169+462x^172+1152x^173+363x^176+3072x^177+414x^180+4992x^181+399x^184+2880x^185+369x^188+279x^192+318x^196+165x^200+105x^204+84x^208+27x^212+6x^216+6x^220

The gray image is a code over GF(4) with n=240, k=7 and d=156.
This code was found by Heurico 1.16 in 2.64 seconds.