The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+69x^88+256x^89+376x^90+298x^91+262x^92+220x^93+213x^94+138x^95+107x^96+68x^97+14x^98+8x^99+8x^100+4x^101+4x^102+1x^130+1x^132

The gray image is a code over GF(2) with n=736, k=11 and d=352.
This code was found by Heurico 1.16 in 0.625 seconds.