The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^90+242x^92+196x^94+160x^96+78x^98+72x^100+32x^102+2x^104+1x^112+4x^114+2x^132

The gray image is a code over GF(2) with n=376, k=10 and d=180.
This code was found by Heurico 1.16 in 78.9 seconds.