The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+92x^66+220x^67+471x^68+444x^69+615x^70+568x^71+820x^72+718x^73+864x^74+500x^75+646x^76+510x^77+538x^78+326x^79+281x^80+154x^81+162x^82+98x^83+77x^84+30x^85+27x^86+10x^87+6x^88+6x^90+6x^91+2x^92

The gray image is a code over GF(2) with n=296, k=13 and d=132.
This code was found by Heurico 1.16 in 4.28 seconds.