The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+79x^28+68x^29+258x^30+262x^31+594x^32+660x^33+976x^34+1142x^35+1509x^36+1902x^37+2115x^38+2664x^39+2549x^40+2882x^41+2698x^42+2748x^43+2223x^44+2016x^45+1605x^46+1126x^47+985x^48+584x^49+444x^50+238x^51+215x^52+78x^53+85x^54+12x^55+31x^56+2x^57+10x^58+6x^60+1x^62

The gray image is a code over GF(2) with n=82, k=15 and d=28.
This code was found by Heurico 1.16 in 59 seconds.