The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+447x^64+580x^65+1736x^66+1408x^67+3277x^68+2676x^69+4959x^70+3304x^71+6497x^72+4204x^73+7066x^74+4300x^75+6749x^76+3820x^77+5007x^78+2428x^79+3137x^80+1232x^81+1431x^82+452x^83+460x^84+144x^85+136x^86+12x^87+32x^88+16x^89+11x^90+6x^92+6x^94+2x^96

The gray image is a code over GF(2) with n=296, k=16 and d=128.
This code was found by Heurico 1.13 in 757 seconds.