The generator matrix

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

generates a code of length 34 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+279x^92+480x^93+288x^94+708x^95+915x^96+1056x^97+588x^98+912x^99+1245x^100+1476x^101+540x^102+1080x^103+1236x^104+1476x^105+612x^106+912x^107+909x^108+780x^109+276x^110+228x^111+252x^112+108x^113+15x^116+12x^120

The gray image is a linear code over GF(4) with n=136, k=7 and d=92.
This code was found by Heurico 1.16 in 0.416 seconds.