The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+216x^89+740x^90+618x^91+676x^92+350x^93+416x^94+230x^95+236x^96+198x^97+160x^98+64x^99+108x^100+28x^101+27x^102+24x^103+2x^108+1x^110+1x^112

The gray image is a code over GF(2) with n=744, k=12 and d=356.
This code was found by Heurico 1.16 in 0.578 seconds.