The generator matrix

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

generates a code of length 66 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+330x^184+252x^185+216x^186+747x^188+744x^189+312x^190+1215x^192+936x^193+552x^194+1233x^196+1272x^197+720x^198+1458x^200+1596x^201+840x^202+1362x^204+936x^205+312x^206+522x^208+384x^209+120x^210+162x^212+24x^213+39x^216+39x^220+27x^224+3x^228+21x^232+3x^240+6x^244

The gray image is a linear code over GF(4) with n=264, k=7 and d=184.
This code was found by Heurico 1.16 in 16 seconds.