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

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+138x^156+12x^157+204x^159+912x^160+252x^161+384x^163+1248x^164+552x^165+456x^167+2094x^168+600x^169+720x^171+2466x^172+828x^173+876x^175+2073x^176+684x^177+336x^179+981x^180+144x^181+96x^183+195x^184+42x^188+48x^192+12x^196+9x^200+6x^204+6x^208+3x^212+6x^216

The gray image is a code over GF(4) with n=228, k=7 and d=156.
This code was found by Heurico 1.16 in 1.29 seconds.