The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+156x^87+156x^88+168x^89+201x^90+168x^91+196x^92+142x^93+207x^94+136x^95+105x^96+92x^97+73x^98+84x^99+53x^100+36x^101+12x^102+30x^103+8x^104+2x^105+1x^106+6x^108+2x^109+1x^110+2x^111+2x^112+6x^113+1x^116+1x^130

The gray image is a code over GF(2) with n=372, k=11 and d=174.
This code was found by Heurico 1.16 in 0.959 seconds.