The generator matrix

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

generates a code of length 49 over F4[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+372x^133+828x^134+660x^135+1161x^136+1332x^137+2028x^138+1908x^139+2358x^140+2484x^141+3468x^142+3024x^143+2718x^144+3072x^145+4416x^146+3780x^147+3564x^148+3864x^149+4644x^150+3552x^151+3099x^152+2784x^153+3516x^154+2040x^155+1722x^156+1296x^157+948x^158+396x^159+207x^160+156x^161+120x^162+12x^164+6x^168

The gray image is a linear code over GF(4) with n=196, k=8 and d=133.
This code was found by Heurico 1.16 in 13.1 seconds.