The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  X  1  1  1  X  X  1  1  X  1  1  0  X  1  1 X+2  1  1  X  1  1 X+2  0  1  1  1 X+2  1  1  1  1  1  1  1  1  0  1  X  1  1  1  2 X+2 X+2  X  1  X  2 X+2  1  0  1  2  1  1  2  0  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1  0  2 X+3 X+2 X+3  1  1 X+1  X  1 X+2 X+1  1  2  0  3  1  X X+3  2 X+3  0  1  1 X+1  X  0  1 X+2  1  3 X+1  1 X+3  1  0  2 X+2  1  2 X+1  1  1  1  X  1  0 X+2  1  1  1  1  1  1  X  3 X+2  1 X+2  3
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X  3  1  X X+2  1 X+3  2 X+3 X+1  1  2  0  X  1  2  2 X+2  3  3  1  2  0 X+2 X+1 X+1  1 X+2  0 X+3 X+3  3  3 X+2 X+2  2 X+3  1  0 X+1  0  2 X+1  0  X  1  3  X  1  3  1  X  0  2 X+2 X+3  3  1  X  0  2
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  2  2  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  0  2  0  2  2  2  2  0  0  0  2  2  0  0  0  0  2  0  2  0
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  0  2  0  0  0  2  0  2  0  2  0  0  2  2  0  0  2  0  2  2  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  0  0  2  2  0  2  0  0  0  0  0  2  2  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+236x^70+553x^72+418x^74+309x^76+177x^78+147x^80+124x^82+34x^84+34x^86+11x^88+2x^90+1x^92+1x^94

The gray image is a code over GF(2) with n=300, k=11 and d=140.
This code was found by Heurico 1.16 in 0.417 seconds.