The generator matrix

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

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+154x^72+112x^74+127x^76+80x^78+29x^80+8x^84+1x^140

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 0.225 seconds.