The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  1  0  0  1  2  2  1  2  0  0  0  0  2  1  1  0  1  0  2  1  1  1  2  2  0  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  1  1  1  1  1  3  1  1  3  2  1  2  3  1  2  1  0  0  0
 0  0  1  0  0  0  0  0  0  3  1  2  1  0  3  1  0  2  2  0  2  3  0  1  0  1  3  1  1  0  3  2  1  1  3  0  1  0
 0  0  0  1  0  0  0  0  3  1  2  2  1  1  0  0  1  1  2  1  2  1  2  2  1  3  3  3  0  3  3  1  3  0  0  1  0  0
 0  0  0  0  1  0  0  0  1  0  1  1  1  2  1  1  1  0  1  2  1  0  2  0  1  1  0  0  3  1  3  3  3  2  1  2  2  0
 0  0  0  0  0  1  0  1  0  3  0  3  1  3  2  3  0  0  2  1  1  3  0  3  2  3  3  2  0  3  3  1  0  1  1  0  3  0
 0  0  0  0  0  0  1  1  3  2  1  2  3  2  2  2  3  2  3  0  0  0  1  1  3  0  1  1  2  2  2  0  2  3  0  3  1  0
 0  0  0  0  0  0  0  2  2  0  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  0  0  2  0  0  0  2  0  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+61x^26+176x^27+292x^28+456x^29+682x^30+890x^31+1145x^32+1600x^33+1828x^34+2264x^35+2663x^36+2680x^37+2949x^38+2866x^39+2688x^40+2426x^41+2013x^42+1598x^43+1162x^44+866x^45+564x^46+364x^47+206x^48+158x^49+82x^50+34x^51+35x^52+6x^53+13x^54

The gray image is a code over GF(2) with n=76, k=15 and d=26.
This code was found by Heurico 1.16 in 65.5 seconds.