The generator matrix

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

generates a code of length 48 over F4[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+420x^130+636x^131+627x^132+1020x^133+1848x^134+1908x^135+1815x^136+1968x^137+3024x^138+3024x^139+3021x^140+2172x^141+4296x^142+4344x^143+3567x^144+2928x^145+4692x^146+4476x^147+3447x^148+2580x^149+4008x^150+3252x^151+2028x^152+1344x^153+1464x^154+792x^155+315x^156+276x^157+216x^158+18x^160+6x^164+3x^168

The gray image is a linear code over GF(4) with n=192, k=8 and d=130.
This code was found by Heurico 1.16 in 11.9 seconds.