The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+56x^24+32x^25+146x^26+172x^27+299x^28+382x^29+511x^30+712x^31+943x^32+1150x^33+1392x^34+1592x^35+1476x^36+1676x^37+1384x^38+1200x^39+985x^40+732x^41+543x^42+380x^43+283x^44+118x^45+103x^46+40x^47+46x^48+6x^49+14x^50+6x^52+2x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 13.5 seconds.