The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  X  1  1  1 aX  1  1  1  1 (a+1)X  1  1  1  1  1  1  1  1  1  1  1  1 (a+1)X  X  1  1 aX  1  1  1  1 aX  1 (a+1)X  X  1  1  1  1  1  1 aX  X
 0  1  0 (a+1)X  X aX  1 (a+1)X+a a+1 (a+1)X+1 X+1  1 X+a+1 aX+1  a  1 (a+1)X+a X+a (a+1)X+a+1 aX+a+1  1  0 aX+a (a+1)X+1 X+a X+a+1 (a+1)X+a+1 aX+a X+a aX+a+1 aX+a a+1 (a+1)X  1  1  X (a+1)X  1 aX+a+1 (a+1)X+a+1  X  0  1 a+1  1  1 (a+1)X+1 X+1 aX+1 X+1 aX+1 (a+1)X+a  X  0
 0  0  1  1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 X+a+1 aX+a (a+1)X  a (a+1)X+1 aX aX+1  0 X+1  a  X  1 aX+a  X (a+1)X+1 X+a+1 aX+1 aX (a+1)X X+a  a (a+1)X+1  1 X+a X+1 aX X+1 aX+1 (a+1)X+a aX+a (a+1)X+a (a+1)X+a+1 (a+1)X (a+1)X+a aX+a+1 (a+1)X+1 aX+1  X  X (a+1)X+a  a  1  1

generates a code of length 54 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+696x^155+264x^156+960x^159+288x^160+528x^163+240x^164+384x^167+144x^168+312x^171+72x^172+192x^175+12x^176+3x^192

The gray image is a linear code over GF(4) with n=216, k=6 and d=155.
This code was found by Heurico 1.16 in 0.0601 seconds.