The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+42x^26+48x^27+51x^28+72x^29+57x^30+54x^31+20x^32+34x^33+35x^34+20x^35+21x^36+20x^37+23x^38+6x^39+3x^40+2x^41+3x^42

The gray image is a code over GF(2) with n=62, k=9 and d=26.
This code was found by Heurico 1.16 in 0.0183 seconds.