The generator matrix

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

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+249x^84+353x^86+314x^88+317x^90+295x^92+259x^94+163x^96+61x^98+26x^100+2x^114+5x^116+2x^120+1x^124

The gray image is a code over GF(2) with n=360, k=11 and d=168.
This code was found by Heurico 1.16 in 2.18 seconds.