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  1  1  X  X  1  1  0 X+2  2  1  X  1
 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  2 X+2 X+2  1 X+1 X+2  1 X+2  1 X+2  X  3
 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  0  X  1 X+3 X+2  1  1  1  X X+2  1 X+1
 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+2  2  2  3 X+1  0  2 X+2 X+3  1 X+2 X+2
 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  0  2  2  2  0  0  0  2  2  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+514x^74+1088x^76+1410x^78+1516x^80+1186x^82+865x^84+718x^86+487x^88+254x^90+103x^92+44x^94+4x^96+2x^98

The gray image is a code over GF(2) with n=324, k=13 and d=148.
This code was found by Heurico 1.16 in 35.6 seconds.