The generator matrix

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

generates a code of length 27 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+31x^22+58x^23+53x^24+68x^25+53x^26+32x^27+43x^28+42x^29+33x^30+34x^31+26x^32+16x^33+11x^34+4x^35+5x^36+2x^37

The gray image is a code over GF(2) with n=54, k=9 and d=22.
This code was found by Heurico 1.16 in 0.0148 seconds.