The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+109x^70+196x^71+168x^72+120x^73+95x^74+60x^75+40x^76+20x^77+42x^78+64x^79+29x^80+36x^81+13x^82+16x^83+5x^84+4x^86+4x^88+1x^92+1x^94

The gray image is a code over GF(2) with n=296, k=10 and d=140.
This code was found by Heurico 1.16 in 0.238 seconds.