The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+181x^74+116x^75+442x^76+252x^77+400x^78+252x^79+324x^80+300x^81+353x^82+284x^83+335x^84+196x^85+290x^86+116x^87+99x^88+20x^89+59x^90+28x^92+18x^94+15x^96+11x^98+2x^100+1x^108+1x^112

The gray image is a code over GF(2) with n=324, k=12 and d=148.
This code was found by Heurico 1.16 in 1.58 seconds.