The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+47x^26+6x^27+130x^28+50x^29+186x^30+118x^31+284x^32+370x^33+466x^34+668x^35+583x^36+820x^37+661x^38+876x^39+657x^40+644x^41+453x^42+350x^43+280x^44+154x^45+188x^46+30x^47+96x^48+10x^49+40x^50+15x^52+5x^54+1x^56+2x^58+1x^64

The gray image is a code over GF(2) with n=76, k=13 and d=26.
This code was found by Heurico 1.16 in 4.76 seconds.