The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+218x^88+698x^89+660x^90+676x^91+394x^92+330x^93+224x^94+336x^95+176x^96+120x^97+65x^98+88x^99+73x^100+24x^101+10x^102+1x^104+1x^112+1x^118

The gray image is a code over GF(2) with n=736, k=12 and d=352.
This code was found by Heurico 1.16 in 0.609 seconds.