The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+46x^23+170x^24+186x^25+208x^26+236x^27+251x^28+352x^29+348x^30+400x^31+418x^32+348x^33+362x^34+292x^35+156x^36+128x^37+90x^38+50x^39+26x^40+10x^41+14x^42+1x^44+2x^46+1x^48

The gray image is a code over GF(2) with n=62, k=12 and d=23.
This code was found by Heurico 1.16 in 2.28 seconds.