The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+42x^30+62x^31+145x^32+158x^33+253x^34+316x^35+409x^36+428x^37+541x^38+692x^39+635x^40+756x^41+700x^42+656x^43+564x^44+560x^45+388x^46+286x^47+236x^48+126x^49+101x^50+36x^51+49x^52+20x^53+21x^54+7x^56+2x^58+2x^60

The gray image is a code over GF(2) with n=82, k=13 and d=30.
This code was found by Heurico 1.16 in 5.07 seconds.