The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^26+128x^27+194x^28+216x^29+301x^30+388x^31+493x^32+540x^33+673x^34+758x^35+706x^36+708x^37+712x^38+676x^39+498x^40+396x^41+282x^42+200x^43+144x^44+52x^45+51x^46+24x^47+8x^48+8x^49+3x^50+2x^51+4x^52

The gray image is a code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.16 in 3.93 seconds.