The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+178x^92+120x^93+284x^94+84x^95+256x^96+60x^97+254x^98+60x^99+194x^100+100x^101+144x^102+44x^103+109x^104+36x^105+74x^106+4x^107+16x^108+4x^109+8x^110+5x^112+4x^114+3x^116+4x^120+1x^124+1x^144

The gray image is a code over GF(2) with n=392, k=11 and d=184.
This code was found by Heurico 1.16 in 1.26 seconds.