The generator matrix

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

generates a code of length 46 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+56x^37+120x^38+178x^39+222x^40+240x^41+289x^42+302x^43+264x^44+266x^45+275x^46+242x^47+303x^48+302x^49+265x^50+244x^51+148x^52+142x^53+92x^54+50x^55+54x^56+18x^57+14x^58+6x^59+2x^63+1x^70

The gray image is a code over GF(2) with n=92, k=12 and d=37.
This code was found by Heurico 1.10 in 0.516 seconds.