The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+60x^84+240x^85+326x^86+412x^87+323x^88+474x^89+300x^90+382x^91+248x^92+292x^93+196x^94+172x^95+124x^96+134x^97+91x^98+84x^99+59x^100+64x^101+43x^102+34x^103+14x^104+12x^105+1x^106+2x^107+1x^108+3x^110+2x^111+2x^112

The gray image is a code over GF(2) with n=364, k=12 and d=168.
This code was found by Heurico 1.16 in 1.57 seconds.