The generator matrix

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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+398x^66+668x^67+1117x^68+1320x^69+1962x^70+2032x^71+2381x^72+2484x^73+2954x^74+2528x^75+2891x^76+2496x^77+2340x^78+1840x^79+1843x^80+1236x^81+966x^82+552x^83+367x^84+144x^85+138x^86+56x^87+39x^88+10x^90+4x^91+1x^92

The gray image is a code over GF(2) with n=300, k=15 and d=132.
This code was found by Heurico 1.13 in 275 seconds.