The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+34x^26+146x^27+238x^28+364x^29+513x^30+626x^31+784x^32+906x^33+1100x^34+1246x^35+1325x^36+1516x^37+1460x^38+1352x^39+1278x^40+1016x^41+794x^42+578x^43+400x^44+264x^45+177x^46+134x^47+65x^48+30x^49+16x^50+14x^51+5x^52+2x^54

The gray image is a code over GF(2) with n=74, k=14 and d=26.
This code was found by Heurico 1.16 in 30.3 seconds.