The generator matrix

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

generates a code of length 49 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+84x^132+72x^134+252x^135+516x^136+372x^138+744x^139+849x^140+432x^142+1056x^143+1545x^144+792x^146+1680x^147+1956x^148+792x^150+1596x^151+1533x^152+468x^154+744x^155+513x^156+144x^158+72x^159+57x^160+27x^164+36x^168+18x^172+21x^176+9x^180+3x^184

The gray image is a linear code over GF(4) with n=196, k=7 and d=132.
This code was found by Heurico 1.16 in 1.05 seconds.