The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  X  X  1  1  1  1 X+2  1  1 X+2  1  2  1 X+2  1  1 X+2  0  2  1  1  1 X+2  1  X  1  1  X  1  0  1  1  0  X  0  X  2  X  1  1  1  0  1  1  X X+2  1 X+2  0 X+2 X+2  0  1  0  1  1 X+2  1  1  2  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1  0  1 X+1  2 X+3 X+2  1 X+1  0  1  0  1 X+1  0  2  0  1  1  0  1 X+1 X+1  X  X  1  3  X X+2  X  1  1  2  1  2  1  1  1  1 X+3 X+1 X+3  1  X  3  1  X X+2  1  1  1  1  1 X+1  2  1  0  1 X+1  1  X  2
 0  0  1  1  1  0  1  1  3  3  1  0  2  X  1 X+2  1  X X+2  1 X+1  0  0  2 X+3  3  3  1 X+3  X X+3 X+2  1 X+3 X+2  0  1  X  3  1 X+3  1 X+1 X+1 X+3  X  2  1  0  2 X+1  3  0  3  3  X X+1  0 X+2  1 X+1 X+1  X  X  X  2 X+2  1  2  1  2  1  1  1  X
 0  0  0  X  0  0  2  2 X+2  X  X  X  X X+2  0  0 X+2  2  0  2  0  X  X  X  X  X  2 X+2  0  2 X+2  0  2  2 X+2  2 X+2  X X+2 X+2  X  2  0  0  0  2  X  0  2  0 X+2 X+2 X+2  2  0  X  X  X  2  2 X+2 X+2  X  2  X  0 X+2 X+2  0  2 X+2  X  2  2  X
 0  0  0  0  X  2  X X+2  2  2 X+2 X+2  X X+2  X X+2 X+2  X X+2  0  0  0  2  2  X  X  0  0  0  2  2  0 X+2  X  X X+2 X+2  2  0 X+2  0  X  0 X+2  2  0  0  2  0 X+2 X+2  2  0  X  2 X+2 X+2  X  2  0  2 X+2  X  0  0 X+2  2  0  X X+2  0  X  2 X+2  X

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+88x^67+227x^68+410x^69+569x^70+648x^71+647x^72+610x^73+675x^74+760x^75+705x^76+600x^77+543x^78+482x^79+385x^80+232x^81+222x^82+152x^83+62x^84+80x^85+34x^86+28x^87+13x^88+2x^89+5x^90+8x^92+2x^93+2x^95

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 3.83 seconds.