The generator matrix

 1  0  0  0  1  1  1  2  0  0  1  1  1  2  1  1  2  2  2  1  0  1
 0  1  0  0  0  1  1  1  1  2  2  2  1  0  1  1  1  1  1  3  0  2
 0  0  1  0  1  1  0  3  2  1  0  3  2  1  3  0  3  2  1  3  0  3
 0  0  0  1  1  0  1  1  2  0  1  2  0  3  3  0  3  3  2  3  1  0
 0  0  0  0  2  0  2  0  2  2  0  0  0  2  2  2  2  0  2  0  2  0
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  0  0  0  2  0  0  2

generates a code of length 22 over Z4 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+90x^17+109x^18+24x^19+119x^20+178x^21+91x^22+32x^23+91x^24+158x^25+53x^26+8x^27+45x^28+22x^29+1x^30+2x^34

The gray image is a code over GF(2) with n=44, k=10 and d=17.
This code was found by Heurico 1.16 in 4.27 seconds.