The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  2  1  1  1  1  X  1  1  0  1  1 X+2  0  1  1  1  1 X+2  1  1  0  1  1 X+2  1  1  2  1  1  X  X  X  X  X  1  1  0  2  0  2  1  2  2  0  2  0  2  1  1  X  1  1  1  2  X X+2  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3 X+1  0  1 X+2  3  1  1  2 X+3  X  3  1  0 X+1  1 X+2  3  1  1  0 X+1 X+2  3  1  0 X+1  1 X+2  3  1  2 X+3  1  X  1  1  0  2 X+2  X X+1 X+3  X  X  1  1  1  1  1  1  X  X  1  3 X+3 X+2  3  1  1  1  X  1  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  2  2  0  0  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  2
 0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  0  0  0  2  0  0  0  2  0  2  2  2  0  2  0  0  2  2  2  0  2  0  0  0  2  0  2  0  2  0  0  2  0  2  0  2  0  2  2  0  2  0  2  0  0  2  2  0  0  0  2  0  0  0
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  2  0  2  0  2  0  2  0  0  2  0  0  0  2  0  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  2  2  0  2  0  2  0  0  2  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  0  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0  0  2  0  2  2  2  2  2  2  0  0  2  2  0  0  0  0  2  2  2  0  2  0  2  0  2  0  0  0  2  2  0  0  2  0  0  2  0  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+132x^70+223x^72+178x^74+186x^76+180x^78+82x^80+13x^82+14x^84+8x^86+5x^88+1x^96+1x^130

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 0.267 seconds.