The generator matrix

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

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+489x^160+480x^161+468x^162+336x^163+1278x^164+948x^165+636x^166+264x^167+1569x^168+972x^169+756x^170+360x^171+1575x^172+972x^173+480x^174+312x^175+1206x^176+588x^177+420x^178+168x^179+579x^180+528x^181+228x^182+96x^183+417x^184+120x^185+84x^186+45x^188+6x^192+3x^196

The gray image is a code over GF(4) with n=228, k=7 and d=160.
This code was found by Heurico 1.16 in 1 seconds.