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

generates a code of length 46 over F4[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+252x^123+783x^124+384x^125+84x^126+1176x^127+1935x^128+1812x^129+300x^130+2808x^131+3861x^132+2352x^133+552x^134+4476x^135+5460x^136+3576x^137+1080x^138+5820x^139+6735x^140+4080x^141+708x^142+4896x^143+4803x^144+2580x^145+348x^146+1872x^147+1716x^148+576x^149+204x^151+207x^152+39x^156+33x^160+15x^164+9x^168+3x^172

The gray image is a linear code over GF(4) with n=184, k=8 and d=123.
This code was found by Heurico 1.16 in 47.4 seconds.