Ultramagic squares of order 7

Walter Trump did some extensive researches with ultramagic squares and found all 20 190 684 ultramagic squares of order 7. You can read his remarks and see his results on his web pages.

One of these ultramagic squares he found is this symmetrical square, which has an inlaid diamond and another inlaid magic square of order 3 with magic sum S3=75.

274631161747
892026344335
2928113237362
4538402510125
48141318392221
1571624304142
333444919423
274631161747
892026344335
2928113237362
4538402510125
48141318392221
1571624304142
333444919423

You can also find some other interesting ultramagic squares like this one, which is bimagic and trimagic in the diagonals. The magic sums are S72=5867 and S73=221 275.

174644333410
4124392718521
3113128362847
3048152535220
3221442383719
2945322311269
401617644349