The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  X  1  1  1  0  1  1  1  0  1  1  1  X  1  1 a*X  1  1  1  1  1 a^2*X  1 a*X a*X  1  1  1  X  1  1  1  1
 0  1  1  a a^2  0 a^2*X+1 a^2*X+a^2  a  1  0 a^2*X+1  a  1 a^2*X+a^2 X+a  1 a^2*X+1  0 a^2*X+a^2  1  X  a a^2*X+1  1 X+1 a^2*X+a^2  1  1 a*X+a^2  X  1 a^2*X+a^2 a^2*X+1 a^2*X X+a^2 a^2*X+1  1 a*X+a  1  1 a*X+a a*X+1  1  1 a*X+1  X  X  0
 0  0 a^2*X  0  0  0  X  X  X  X  X  X a^2*X a^2*X a*X a^2*X a^2*X a*X  X a^2*X  X a^2*X a^2*X  X  X a^2*X a*X a*X  X  X  0  0  0 a*X a*X  X a*X  X a^2*X a^2*X a^2*X  0  0 a^2*X  X a*X a*X a^2*X  0
 0  0  0  X  0  X a^2*X  0  X a^2*X  X  0 a*X a^2*X  0  0  X  X a*X a^2*X a^2*X  X  X  0  X  0  X a^2*X  0 a*X a*X a^2*X  0 a^2*X  X  X a*X a^2*X a*X  X  0  X a*X a*X  0 a*X a*X a*X a*X
 0  0  0  0 a^2*X a^2*X  X a^2*X a*X  0 a^2*X  X  X a*X  X  X  X a*X a^2*X  X a*X  0 a^2*X a*X  0 a^2*X a*X  0 a^2*X  X a^2*X  X  X a^2*X  0  X a^2*X  X  0 a^2*X  X a^2*X  0 a*X  X  0  X  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+81x^132+72x^133+24x^134+396x^135+135x^136+168x^137+252x^138+1200x^139+207x^140+444x^141+432x^142+1560x^143+159x^144+768x^145+984x^146+2448x^147+99x^148+912x^149+984x^150+2220x^151+90x^152+504x^153+396x^154+1248x^155+60x^156+204x^157+144x^159+36x^160+66x^164+63x^168+15x^172+6x^176+6x^184

The gray image is a linear code over GF(4) with n=196, k=7 and d=132.
This code was found by Heurico 1.16 in 1.04 seconds.