The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+62x^36+124x^37+155x^38+240x^39+248x^40+244x^41+274x^42+260x^43+293x^44+298x^45+327x^46+304x^47+232x^48+262x^49+234x^50+180x^51+129x^52+90x^53+57x^54+40x^55+23x^56+6x^57+8x^58+4x^60+1x^62

The gray image is a code over GF(2) with n=90, k=12 and d=36.
This code was found by Heurico 1.16 in 1.31 seconds.