The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+116x^73+288x^74+392x^75+550x^76+640x^77+672x^78+680x^79+611x^80+696x^81+652x^82+524x^83+590x^84+540x^85+316x^86+260x^87+245x^88+138x^89+103x^90+48x^91+43x^92+34x^93+16x^94+12x^95+7x^96+10x^97+4x^99+1x^100+2x^101+1x^106

The gray image is a code over GF(2) with n=324, k=13 and d=146.
This code was found by Heurico 1.16 in 4.92 seconds.