The generator matrix
1 0 1 1 1 0 1 1 0 1 2 1 1 X 0 1 1 1 2 X+2 2 1 1
0 1 1 0 1 1 0 X+1 1 2 1 X+1 2 0 1 X+3 X+2 X+3 X 1 X 2 0
0 0 X 0 0 0 0 0 0 2 2 X X+2 2 X+2 X X X 2 X+2 0 X+2 0
0 0 0 X 0 0 X+2 2 X+2 0 X X X X+2 X X+2 X 2 X+2 X+2 0 0 0
0 0 0 0 X X+2 X+2 2 X X 0 2 X X 0 X+2 2 X+2 0 0 X 0 0
0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 0 0
generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+33x^16+110x^17+238x^18+316x^19+796x^20+674x^21+1512x^22+880x^23+1474x^24+658x^25+777x^26+332x^27+252x^28+94x^29+32x^30+8x^31+4x^32+1x^42
The gray image is a code over GF(2) with n=92, k=13 and d=32.
This code was found by Heurico 1.16 in 0.855 seconds.