The generator matrix

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

generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+50x^71+247x^72+48x^73+81x^74+18x^75+168x^76+64x^77+16x^78+44x^79+215x^80+16x^81+28x^82+12x^83+8x^84+2x^87+1x^88+2x^90+2x^91+1x^138

The gray image is a code over GF(2) with n=304, k=10 and d=142.
This code was found by Heurico 1.16 in 5.73 seconds.