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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+48x^89+72x^90+80x^91+31x^92+560x^94+31x^96+80x^97+72x^98+48x^99+1x^188

The gray image is a code over GF(2) with n=376, k=10 and d=178.
This code was found by Heurico 1.16 in 4.2 seconds.