The generator matrix

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

generates a code of length 29 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+38x^22+32x^23+72x^24+64x^25+68x^26+96x^27+78x^28+128x^29+94x^30+96x^31+73x^32+64x^33+34x^34+32x^35+26x^36+20x^38+6x^40+2x^42

The gray image is a code over GF(2) with n=58, k=10 and d=22.
This code was found by Heurico 1.16 in 0.0827 seconds.