The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+180x^26+710x^28+1192x^30+1873x^32+2668x^34+2930x^36+2861x^38+2109x^40+1108x^42+522x^44+162x^46+40x^48+20x^50+6x^52+1x^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 29.9 seconds.