The generator matrix

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

generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+216x^101+468x^102+96x^103+273x^104+384x^105+648x^106+168x^107+162x^108+216x^109+300x^110+48x^111+117x^112+144x^113+384x^114+72x^115+78x^116+192x^117+120x^118+9x^120

The gray image is a linear code over GF(4) with n=144, k=6 and d=101.
This code was found by Heurico 1.16 in 0.0323 seconds.