The generator matrix

 1  0  1  1  1 X+2  1  1  X  1  1  2 X+2  1 X+2  1  1  1  0  1  1  1  1  2  2 X+2  2  X  0 X+2  0 X+2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1 X+2  1  X  2 X+2  2  2  1  1  1 X+2  1  1
 0  1  1 X+2 X+3  1  2 X+1  1  X  3  1  1  0  1 X+1  0 X+1  1  X  1  X  1  1  1  1  1  1  1  1  1  1  0 X+2  2  X X+1  3  0 X+2  2  X X+3  1  0  X X+1 X+2  1  X  2  2  0 X+2  0  2 X+2 X+2  2 X+2  2  X  2  1  1 X+3 X+1 X+1  1 X+3  1  1  1  0  1  1  1  0  1  1  3
 0  0  X  0 X+2  0  X  2  X X+2  0 X+2  2  2  X  2  X  X  2 X+2 X+2  2  0 X+2  0  0  X  X  0  0  X  X  0  0  X  X  2  2  0  0  X  X  X X+2  X  X  X X+2 X+2  2  0 X+2  X  2  0 X+2 X+2  2  0  0  2  X  X  X X+2  2  2  0  2  0  0  2  0  X  X  2  2  2  0  X  0
 0  0  0  2  0  0  0  2  2  0  2  0  0  2  2  0  2  2  2  2  2  0  0  0  2  2  0  2  0  2  0  2  0  0  0  2  2  0  2  2  0  2  0  2  2  2  0  0  2  0  2  0  0  2  0  2  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  2  0  0  2  0  2  0  0  2  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  2  2  0  2  2  2  0  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  2  2  0  0  2  0  0  0  2  0  2  2  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  0  2  0  2  0  2  2  0  0  0  0  2  2  0  2  2  0  2
 0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  0  2  2  2  2  0  0  2  2  2  2  0  0  2  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  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+106x^75+205x^76+178x^77+187x^78+182x^79+149x^80+174x^81+139x^82+126x^83+152x^84+132x^85+140x^86+76x^87+20x^88+22x^89+12x^90+20x^91+11x^92+6x^93+2x^95+6x^96+1x^110+1x^114

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 0.633 seconds.