The generator matrix

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

generates a code of length 17 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+129x^40+156x^41+144x^42+138x^44+528x^45+1296x^46+207x^48+2088x^49+3888x^50+156x^52+2832x^53+3888x^54+231x^56+540x^57+90x^60+72x^64

The gray image is a linear code over GF(4) with n=68, k=7 and d=40.
This code was found by Heurico 1.16 in 0.258 seconds.