The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 a^2*X  1  1 a^2*X  1  1  1  0  1  0  1  0  1  1 a^2*X  1 a*X  1  1  1  1  1 a*X  1  X  1  1  1 a*X  1  1 a*X  1  1  1  1
 0  1  0  0  0 a^2*X  1 a^2*X+a a^2 a^2*X+1 a^2*X+1  a a^2*X+a  1 a^2 a^2*X+a^2  1  1 a^2*X+a^2  a  1 a*X  1 a*X+a^2  1 X+1 a^2*X  1  a a*X X+a^2 a^2*X X+1 a*X+1  0  1 a*X+a  1 a*X+a^2 a*X+1 a^2*X  1  1 X+1  0 a^2 a^2*X  1  X
 0  0  1  1  a a^2  1 X+1  1  a  0  X a^2 a^2 a*X+a^2 a*X+a X+1 a^2  0 X+a  a X+a^2  X a*X+a X+a^2 a*X  X  1 X+a^2  1 a*X+1 X+1 X+1 a^2 a*X a*X a*X a*X+a a^2*X+1 a*X+a^2 X+a^2 X+a  X a^2*X+a^2  1  X a*X+a^2 a*X+a^2  a
 0  0  0 a^2*X  0  0  0  X  X  X a^2*X a*X a^2*X a^2*X a*X a*X a*X  X a^2*X a*X  X  X a*X  X  0  0 a*X a*X  X a^2*X a^2*X  X a*X a^2*X a^2*X a*X  0  X a^2*X a*X  0  0  0 a^2*X  0 a*X a^2*X  0  X
 0  0  0  0  X a^2*X a*X  X a^2*X a*X a*X  X  X a*X a*X  0  X a^2*X  X a*X  0  X a*X a^2*X  X a^2*X  0 a^2*X a^2*X a*X a^2*X  0  0  0 a^2*X  0 a*X a*X a*X a^2*X a*X  X  0 a*X  X a^2*X a*X a*X  0

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

Homogenous weight enumerator: w(x)=1x^0+402x^132+480x^133+528x^134+300x^135+2073x^136+1368x^137+1152x^138+588x^139+3678x^140+3012x^141+2028x^142+1212x^143+5658x^144+3852x^145+2916x^146+1656x^147+7302x^148+4680x^149+3000x^150+1572x^151+6294x^152+3504x^153+2040x^154+732x^155+2658x^156+1428x^157+588x^158+84x^159+474x^160+108x^161+36x^162+48x^164+42x^168+24x^172+15x^176+3x^184

The gray image is a linear code over GF(4) with n=196, k=8 and d=132.
This code was found by Heurico 1.16 in 14.2 seconds.