The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+196x^87+802x^88+976x^89+1255x^90+894x^91+1001x^92+716x^93+655x^94+384x^95+446x^96+264x^97+250x^98+178x^99+81x^100+36x^101+46x^102+4x^103+5x^104+1x^114+1x^118

The gray image is a code over GF(2) with n=736, k=13 and d=348.
This code was found by Heurico 1.16 in 1.44 seconds.