The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  X  X  1  1  1  1  0  1  1 X+2  1  1  1  1  1  1  0  1  1  X X+2  0  1 X+2  1  1  1  1  1  0  2  0  X  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1  X  X  X
 0  1  1 X+2 X+1  1  3  2  1  X X+3  1  1  1  0  1 X+2  2  1 X+3  X  1  1 X+3 X+3  1 X+1  0  1  3  X  1  1  1  0  1 X+2 X+1  3 X+3  1  1  X  1  1  0 X+2  2 X+2  0  2  X  2  X  2  X  2 X+2  2  2  2  X X+2  X  2  2 X+2 X+3  X  3  3  3  X X+2 X+2
 0  0  X  0  2  0  2  X  X  X  X X+2  0  X  0 X+2 X+2 X+2  0  2  0 X+2  2 X+2  X  X  0 X+2 X+2  0 X+2 X+2  2  X  X  X  X X+2 X+2  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  X  X  0  0 X+2  0  X  0  X X+2 X+2  0 X+2 X+2  0 X+2  0  2  X X+2  0
 0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  0  2  0  2  2  0  2  0  2  0  2  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  0  0  2  0  2  0  0  0  0  2  2

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+93x^72+64x^73+130x^74+32x^75+80x^76+16x^77+44x^78+30x^80+16x^81+2x^82+1x^96+3x^104

The gray image is a code over GF(2) with n=300, k=9 and d=144.
This code was found by Heurico 1.16 in 0.292 seconds.