The generator matrix

 1  0  0  1  1  1  X  1 X+2  1  1  X  1 X+2  1 X+2  1  1  0  0  1  1  2  1  1  0  1  1 X+2  1  2  2  X  1  0  1  1  1  1  1  1  0  1  1  1  1 X+2  1  1 X+2  1  0  1  2  0  1  1  0  X  2  0  1 X+2  2  1  1  X  2  0  X  1  1  2  0  1
 0  1  0  0  1 X+3  1  2  0  2 X+3  1 X+1  1  0  1  2 X+2  1  1 X+3 X+3  X  1 X+2  1 X+3  1  0  2  1  X  1 X+2  1  0  X  1 X+1  2 X+2  1  0 X+3 X+3 X+2  1 X+3  X  2  3  2  3  1  1  0  3  1  1  1  1  X  1  1 X+2  1  1  1  0  1 X+2  2  1  2  2
 0  0  1  1 X+1  0  1 X+1  1  X X+1  X  X X+1 X+1  3  X X+3  0  1  3  2  1  2 X+2  X X+3 X+2  1  2 X+1  1  0  1  2  3  1 X+3  2  X  1 X+2 X+2 X+3  3  2 X+1  3  X  1 X+3  1  0 X+2 X+1  2  0  0  X X+3 X+3 X+1  0  2 X+1 X+2  3  3  1  1 X+3  0  0  1  0
 0  0  0  X  X X+2  2 X+2  0  0  X  2  X  0  2 X+2  X  2 X+2  X  0  2  X  0 X+2 X+2  2  X X+2  X  0  2  X  2 X+2  X  X  2 X+2 X+2  0  2  2  X  2  2  2  2  X  X X+2  0  2  2 X+2  2  0  2 X+2  0  X  0  X X+2  X X+2  X  X X+2  0  2  X  2 X+2 X+2
 0  0  0  0  2  0  0  2  2  2  0  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  2  2  2  2  2  2  0  0  2  2  2  0  0  0  2  2  0  2  0  0  0  2  0  0  0  0  2  0  0  2  2  2  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2
 0  0  0  0  0  2  2  0  0  0  0  0  2  2  0  2  0  0  0  2  0  2  0  2  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  2  0  0  2  2  0  2  0  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 67.

Homogenous weight enumerator: w(x)=1x^0+98x^67+193x^68+484x^69+377x^70+796x^71+561x^72+870x^73+549x^74+934x^75+417x^76+670x^77+387x^78+580x^79+309x^80+406x^81+123x^82+190x^83+104x^84+62x^85+32x^86+24x^87+12x^88+4x^89+4x^90+2x^91+2x^92+1x^96

The gray image is a code over GF(2) with n=300, k=13 and d=134.
This code was found by Heurico 1.16 in 4.35 seconds.