The generator matrix

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

generates a code of length 61 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+108x^182+96x^183+9x^184+36x^186+6x^212

The gray image is a linear code over GF(4) with n=244, k=4 and d=182.
This code was found by Heurico 1.16 in 1.25 seconds.