Create table/report with each row and one column value

Hi -- I am a PowerBI newbie so thanks in advance for any assistance!

I have a data source organized like this:

I am trying to manipulate the data to get something that only shows the Value column(s) where the values aren't zero. I can envision it like this:

Code 01

ValueB - 3

Value C - 2

Code 02

ValueA - 4

Value B - 3

ValueD - 6

Code03

ValueC - 4

Code04

ValueA - 2

ValueB - 5

ValueC - 4

ValueD - 8

or even like this:

Note that there are about 35 'value' columns currently, but this will grow/shrink in other instances of this data. I'd love something that allows me to run this against the data regardless of the number of columns.

I keep picturing it as a query to populate a new table, like

For Each [Code.row],

For Each [Value.column]

If Value.Column>0,

Create row (Code.row, Value.Column, Value)

Next

Next

(I'm not a coder, but that is the logic I want to use so that the # of columns and # of rows can be variable.)

Is this even possible? Any suggestions would be appreciated. Thanks in advance!