The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+224x^26+740x^28+1230x^30+1944x^32+2486x^34+2935x^36+2726x^38+2039x^40+1228x^42+598x^44+154x^46+55x^48+14x^50+7x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=72, k=14 and d=26.
This code was found by Heurico 1.16 in 30.5 seconds.