The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+70x^70+350x^71+521x^72+466x^73+501x^74+476x^75+439x^76+398x^77+376x^78+318x^79+92x^80+30x^81+23x^82+8x^83+16x^84+2x^85+2x^88+3x^90+2x^94+1x^98+1x^100

The gray image is a code over GF(2) with n=600, k=12 and d=280.
This code was found by Heurico 1.16 in 0.546 seconds.