The generator matrix

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

generates a code of length 43 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+276x^115+453x^116+564x^117+1032x^118+1344x^119+2064x^120+1704x^121+2232x^122+2556x^123+3264x^124+2604x^125+2820x^126+3732x^127+4806x^128+3684x^129+4308x^130+4728x^131+4707x^132+3120x^133+3492x^134+3108x^135+3573x^136+1860x^137+1380x^138+1032x^139+570x^140+288x^141+96x^142+120x^143+9x^144+6x^148+3x^152

The gray image is a linear code over GF(4) with n=172, k=8 and d=115.
This code was found by Heurico 1.16 in 11.6 seconds.