The generator matrix

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

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+272x^87+262x^88+534x^89+390x^90+488x^91+235x^92+394x^93+192x^94+256x^95+154x^96+252x^97+116x^98+124x^99+122x^100+98x^101+29x^102+68x^103+13x^104+42x^105+8x^106+16x^107+13x^108+8x^109+1x^110+4x^111+4x^115

The gray image is a code over GF(2) with n=372, k=12 and d=174.
This code was found by Heurico 1.11 in 143 seconds.