The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+52x^70+78x^72+256x^73+72x^74+48x^76+4x^78+1x^144

The gray image is a code over GF(2) with n=292, k=9 and d=140.
This code was found by Heurico 1.16 in 6.11 seconds.