The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  X  1  1  X  1  1  1  1  0  1  1  X  1  1  X  1  X  1  1  1  2  1  1  X  1  0  1  1  2  1
 0  X  0  0  0  X X+2  X  2  0 X+2 X+2  2  2 X+2 X+2  2  0 X+2 X+2  0  X  2 X+2  0 X+2  0  0  2  X  X X+2  0  2  X  2  0  X X+2 X+2 X+2  2  0  X  2  0  0  X  0  2  0 X+2 X+2 X+2  2 X+2  X  X  0  X  X  2 X+2  2  0  2  X  2  2  X  0  X  X  0  X  2  2  X X+2  0  X
 0  0  X  0  X  X  X  0  2  0 X+2  2  X X+2 X+2  2  0 X+2  X  0  0  2 X+2  X  0  X  X  2 X+2  X  2  0  0  0  X  X  X  2  0 X+2  0  2  2 X+2  X X+2 X+2  0  0  X X+2  2  0  X  X  2  2  X  2  X  0  2  0  0  X  0  2  X X+2  0  X X+2  0  2  2 X+2  0  2 X+2  X  0
 0  0  0  X  X  0  X X+2  0 X+2  X  2  0  X  0 X+2  X  2 X+2  2  0 X+2 X+2  2  0  2  2 X+2 X+2 X+2 X+2  0  2  X  2  0 X+2 X+2  0 X+2  0  X  0  2  X  0 X+2  0  2  0  X  2  X X+2  2  X  0  0  X X+2  X  X  2  0  2  X  2  0  2 X+2  0  0 X+2  X  X  2  X  0  2 X+2  2
 0  0  0  0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  2  0  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  0  0  0  2  2  2  2  2  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  2  2  2  0  0
 0  0  0  0  0  2  0  2  0  2  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  0  2  0  2  0  0  2  0  0  2  0  0  2  0  2  0  0  0  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  2  0  2  2  0  0  0  0  2  2  2  0  2  0  0  0  2  0  2  0  0  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+143x^74+4x^75+187x^76+72x^77+198x^78+100x^79+285x^80+144x^81+281x^82+140x^83+190x^84+40x^85+80x^86+12x^87+72x^88+41x^90+30x^92+18x^94+2x^96+7x^98+1x^140

The gray image is a code over GF(2) with n=324, k=11 and d=148.
This code was found by Heurico 1.16 in 14.2 seconds.