The generator matrix

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

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+435x^152+444x^153+288x^154+1164x^155+2442x^156+2172x^157+1644x^158+4080x^159+7032x^160+4176x^161+3792x^162+7152x^163+13353x^164+7608x^165+5712x^166+11496x^167+19335x^168+11196x^169+8208x^170+16056x^171+24339x^172+14028x^173+8748x^174+15888x^175+21363x^176+10152x^177+5808x^178+8736x^179+10614x^180+4560x^181+2424x^182+2712x^183+3195x^184+912x^185+240x^186+300x^187+204x^188+48x^189+45x^192+15x^196+15x^200+3x^204+3x^208+6x^212

The gray image is a code over GF(4) with n=228, k=9 and d=152.
This code was found by Heurico 1.16 in 215 seconds.