The generator matrix

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

generates a code of length 90 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 254.

Homogenous weight enumerator: w(x)=1x^0+1008x^254+1272x^255+243x^256+3372x^258+2688x^259+474x^260+4932x^262+3420x^263+693x^264+6288x^266+3960x^267+624x^268+6276x^270+4200x^271+765x^272+5904x^274+3792x^275+474x^276+4704x^278+2736x^279+567x^280+2880x^282+1704x^283+204x^284+1188x^286+624x^287+51x^288+276x^290+144x^291+36x^294+36x^295

The gray image is a linear code over GF(4) with n=360, k=8 and d=254.
This code was found by Heurico 1.16 in 525 seconds.