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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+134x^70+58x^72+96x^73+84x^74+320x^75+40x^76+96x^77+104x^78+28x^80+60x^82+2x^86+1x^144

The gray image is a code over GF(2) with n=300, k=10 and d=140.
This code was found by Heurico 1.16 in 13.9 seconds.