The generator matrix

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

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+52x^72+98x^73+105x^74+108x^75+49x^76+24x^77+29x^78+12x^79+6x^81+8x^82+8x^83+4x^84+1x^86+5x^88+1x^90+1x^92

The gray image is a code over GF(2) with n=300, k=9 and d=144.
This code was found by Heurico 1.13 in 0.11 seconds.