The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+118x^70+678x^71+666x^72+620x^73+582x^74+434x^75+252x^76+212x^77+166x^78+148x^79+70x^80+100x^81+28x^82+16x^83+2x^84+1x^86+1x^90+1x^92

The gray image is a code over GF(2) with n=592, k=12 and d=280.
This code was found by Heurico 1.16 in 0.313 seconds.