The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  2  1  0 X+2  1  1 X+2  1  1 X+2  2 X+2  1  0  1  1 X+2 X+2  X  1  1  1  1  1 X+2  1  X  2  0  1  1 X+2  1  1  0 X+2  1  X  1 X+2  1  1  1  0  1  1 X+2  1  1  1 X+2  1  2  1  2  0 X+2  1 X+2  X  1  1  X  1  1  1  2  1  2 X+2
 0  1  0  0  X  X X+2  0  1  3  3  1 X+3  1  1  0  2 X+2  2 X+2  1  1  1  1 X+2  1 X+3  2  1  1  2 X+3  0  3 X+3  1  1  1  1  0 X+3  X  0 X+1 X+2  1  1 X+1  1  X  0 X+3 X+2  3  1 X+1  0  1 X+3  3 X+1 X+2 X+2 X+2  0  1  1  2  X  1  1  2  0  X X+2  1 X+1  1  0  1  1
 0  0  1  0  X X+3 X+3  1 X+1 X+2  2  1 X+1  3  X X+2 X+1  1 X+3  0 X+1 X+2 X+3  2  X  3  2  1  0  1 X+2  X  0  X  1  1 X+1  0  2  1 X+3  X X+2 X+2  1  X  0 X+3  3  3  0  3 X+3  0 X+1  1  1  1  2 X+2 X+1  1  2  1 X+3 X+1  3  1 X+3 X+2 X+3  0  0  1 X+2 X+3  0  3  3  X X+2
 0  0  0  1 X+1 X+3  X  3  X X+2  3  1 X+3  X  1  2 X+1 X+3 X+2 X+3 X+3  2  0 X+1  1 X+2 X+2  0  1  3  1  1  0  2  0  X  1  X X+3  1  X  3  1  0  1 X+3  0  2  0  X  1  1 X+3 X+3  2 X+2 X+1  1  X  1  3  3  2 X+3  2 X+1  1 X+1 X+2  X  3 X+2 X+2 X+2  0  2  1 X+3  1  1  1
 0  0  0  0  2  2  2  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0  2  2  2  0  0  2  0  0  2  2  0  2  0  2  0  0  0  2  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  2  0  2  2  2  2  0  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+530x^74+1097x^76+1445x^78+1378x^80+1156x^82+1002x^84+726x^86+452x^88+266x^90+93x^92+37x^94+9x^96

The gray image is a code over GF(2) with n=324, k=13 and d=148.
This code was found by Heurico 1.13 in 59.7 seconds.