The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  1  2  1  X  0  1  1  0  1  X  1  0  1  X  1 X+2  1  1 X+2  1  1  1  X  1  1  1  2  2  1  0  2 X+2  1  X X+2  1  1  1  1 X+2  X  1  1  2  0  1  1  1  1  1 X+2  1  1  1  0  1  1  1  1  X X+2  1  1  1  1  1  1  1  2  X  1
 0  1  0  0  1 X+1  1  0  0  2 X+1  1  1  1  2  2  3  1  2  1  3  1  0  0 X+3  1  X X+1  1  1  X X+3  1  X  X X+3  X  1 X+3  1 X+2  1  1  1 X+2  2  3  3  3  1  1 X+2  1  1  1  0  X  1  3  2  1 X+2 X+2 X+3  1  3 X+3 X+3  1  2  2 X+2  X  1  X  X X+1  0  1  1  0
 0  0  1  1  1  2  3  1 X+3  X  1 X+1  X X+2  1 X+2  X  X X+1 X+3  1  1  3  1  1 X+2  X X+2  0 X+1 X+3  X  3  3  X  2  1 X+2 X+3  2  1 X+3 X+1  X  1  2  2  X  X X+1 X+3 X+1  1  3  X  3 X+2  0 X+3 X+2  2  0 X+2 X+3  0  2  0 X+3 X+3  1  1  0 X+2 X+2  2  X  X X+3 X+1 X+3  2
 0  0  0  X X+2  0 X+2 X+2 X+2  2 X+2  X  0  0 X+2 X+2  X X+2  0  2  0  2  2  2  0 X+2  X  0  2 X+2  0  X  2 X+2  0  0  0  2  2 X+2 X+2  X  2  X X+2 X+2  X  2 X+2  0 X+2  0  X  2  0  X  2  X  0  X  2  0 X+2  2  X  0  2 X+2  2  X  2  X  2 X+2  X  X X+2 X+2 X+2 X+2  0
 0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0  0  2  2  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  0  2  2  0  0  2  2  2  0  2  0  0  2  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  2  0  2  0  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+46x^74+224x^75+248x^76+456x^77+318x^78+526x^79+296x^80+444x^81+184x^82+322x^83+140x^84+234x^85+117x^86+192x^87+83x^88+96x^89+51x^90+42x^91+23x^92+18x^93+17x^94+6x^95+8x^96+3x^98+1x^100

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 1.24 seconds.