The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+136x^76+222x^78+178x^80+198x^82+157x^84+78x^86+27x^88+10x^90+8x^92+4x^94+1x^96+2x^100+1x^104+1x^132

The gray image is a code over GF(2) with n=324, k=10 and d=152.
This code was found by Heurico 1.16 in 0.342 seconds.