Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

2325. 'And Lot saw' means [their] conscience - that is to say, the conscience of those with whom the good of charity exists but whose worship is external. This becomes clear from the meaning of 'seeing'. 'Seeing' in the Word means understanding, see 897, 1584, 1806, 1807, 2150. In the internal sense however 'seeing' means having faith, a meaning which will in the Lord's Divine mercy be discussed at Genesis 29:32. The reason why conscience is meant here is that people who have faith have conscience as well. Conscience is inseparable from faith, so inseparable in fact that it makes no difference whether you speak of faith or of conscience. By faith is meant faith through which charity comes, and which derives from charity. This being so, it is charity itself, for faith without charity is not faith at all. And just as faith is not possible without charity, neither is conscience possible without it.