The generator matrix

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

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+204x^89+199x^90+192x^91+288x^92+312x^93+285x^94+180x^95+157x^96+180x^97+26x^98+20x^99+1x^100+1x^110+1x^116+1x^138

The gray image is a code over GF(2) with n=744, k=11 and d=356.
This code was found by Heurico 1.16 in 1.02 seconds.