The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+6x^92+100x^93+6x^94+1x^96+10x^97+1x^98+2x^105+1x^114

The gray image is a code over GF(2) with n=744, k=7 and d=368.
This code was found by Heurico 1.16 in 0.938 seconds.