The generator matrix

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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+100x^82+108x^83+257x^84+240x^85+397x^86+232x^87+370x^88+244x^89+413x^90+206x^91+332x^92+206x^93+335x^94+174x^95+207x^96+58x^97+82x^98+28x^99+28x^100+12x^101+10x^102+14x^103+18x^104+6x^105+4x^106+6x^107+2x^108+2x^109+2x^110+1x^116+1x^130

The gray image is a code over GF(2) with n=360, k=12 and d=164.
This code was found by Heurico 1.16 in 1.6 seconds.