The generator matrix

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

generates a code of length 46 over F4[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+357x^120+504x^121+204x^122+1440x^123+2226x^124+2568x^125+828x^126+4380x^127+6354x^128+6312x^129+2388x^130+8580x^131+12447x^132+12084x^133+4908x^134+15012x^135+20325x^136+18384x^137+6804x^138+20424x^139+25386x^140+18768x^141+6324x^142+16356x^143+16887x^144+11400x^145+2700x^146+6324x^147+5517x^148+3540x^149+420x^150+1212x^151+507x^152+168x^153+54x^156+24x^160+18x^164+9x^168

The gray image is a linear code over GF(4) with n=184, k=9 and d=120.
This code was found by Heurico 1.16 in 156 seconds.