The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+60x^22+8x^23+139x^24+164x^25+224x^26+292x^27+308x^28+320x^29+300x^30+432x^31+299x^32+408x^33+292x^34+280x^35+220x^36+128x^37+136x^38+8x^39+56x^40+4x^41+12x^42+4x^43+1x^56

The gray image is a code over GF(2) with n=62, k=12 and d=22.
This code was found by Heurico 1.16 in 0.776 seconds.