The generator matrix

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

generates a code of length 47 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+36x^125+288x^126+324x^127+735x^128+240x^129+1824x^130+1404x^131+1584x^132+552x^133+3168x^134+2856x^135+2556x^136+1236x^137+4548x^138+3936x^139+3921x^140+1812x^141+6576x^142+5124x^143+4371x^144+1464x^145+5400x^146+3660x^147+2340x^148+672x^149+2352x^150+1104x^151+693x^152+132x^153+420x^154+24x^155+84x^156+45x^160+24x^164+15x^168+15x^172

The gray image is a linear code over GF(4) with n=188, k=8 and d=125.
This code was found by Heurico 1.16 in 65.4 seconds.