The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+86x^75+151x^76+242x^77+229x^78+154x^79+178x^80+180x^81+170x^82+106x^83+127x^84+134x^85+83x^86+50x^87+45x^88+32x^89+28x^90+16x^91+7x^92+14x^93+2x^94+4x^95+2x^96+4x^97+2x^101+1x^116

The gray image is a code over GF(2) with n=324, k=11 and d=150.
This code was found by Heurico 1.16 in 0.632 seconds.