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

generates a code of length 94 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+122x^90+224x^92+350x^94+214x^96+86x^98+6x^100+18x^102+2x^116+1x^128

The gray image is a code over GF(2) with n=752, k=10 and d=360.
This code was found by Heurico 1.16 in 1.03 seconds.