The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  X  1  1  1 a^2*X  1  1  1  1  0  1  X  1 a*X  1  1  1  1 a^2*X  1  1  1 a^2*X  1 a*X  1  1  1  1  1  1  1  1  1  1 a*X  1  X  1  1  1  1  1  1  0  1
 0  1  0 a^2*X a*X  X  1 a^2*X+a a^2 a^2*X+1 a*X+1  1 a*X+a X+1 X+a  1 X+a^2  a a^2*X+a^2 a*X+a^2  1  a  1  0  1 a*X+1 a^2*X X+a^2 a^2  1 X+1 a^2*X+a  X  0  1  1 a*X+a^2 a^2*X+a^2  1 a^2  a a*X+1 a^2*X+a a^2  a a^2*X+a^2  1 a*X+a  1 X+a^2 a^2*X a*X a*X+a  X X+1  1 a*X
 0  0  1  1  a a^2 X+a^2 a^2*X+a^2 a*X+a^2 X+a a*X+1 a^2*X+a^2 X+1  X a^2*X+a a*X+1 a*X+a  0 a^2*X+1 a*X X+a  X a^2*X+a a*X a^2*X+1 X+a^2 a^2*X+1 a*X+1 a*X+a  X X+a a^2*X+a a^2*X+a^2  1 a*X+a^2 X+1 a^2*X+1 a^2*X+a^2 a^2*X a^2*X a*X+1 a^2*X+a a^2*X  a a*X+a  0  X X+a^2 a*X+1 X+a a^2*X  0 a^2 a*X a*X+a^2 a^2*X+1 a^2

generates a code of length 57 over F4[X]/(X^2) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+216x^163+237x^164+192x^165+276x^166+576x^167+435x^168+168x^169+96x^170+396x^171+177x^172+72x^173+48x^174+252x^175+132x^176+48x^177+108x^178+168x^179+198x^180+72x^181+36x^182+60x^183+30x^184+24x^185+12x^186+60x^187+6x^192

The gray image is a linear code over GF(4) with n=228, k=6 and d=163.
This code was found by Heurico 1.16 in 0.063 seconds.