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

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+144x^70+130x^72+268x^74+216x^76+160x^78+35x^80+60x^82+8x^86+1x^88+1x^136

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 87.8 seconds.