The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+60x^17+450x^18+766x^19+1286x^20+1624x^21+2868x^22+2234x^23+2834x^24+1740x^25+1397x^26+642x^27+354x^28+96x^29+20x^30+6x^31+5x^32+1x^42

The gray image is a code over GF(2) with n=92, k=14 and d=34.
This code was found by Heurico 1.16 in 2.55 seconds.