The generator matrix

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

generates a code of length 17 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+192x^43+168x^44+576x^47+240x^48+1344x^51+360x^52+960x^55+192x^56+48x^60+15x^64

The gray image is a linear code over GF(4) with n=68, k=6 and d=43.
This code was found by Heurico 1.16 in 0.0179 seconds.