Prime p₀= 1248742831215886211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Theadalus
db: batch=77, k=10, 2 4 2 10 2

SPT(18)	1248741225342248483	0 30 68 98 128 146 164 200 206 258 264 300 318 336 366 396 434 464	-1605873637728
SPT(16)	1248741275192505791	0 12 42 50 68 78 90 110 120 140 152 162 180 188 218 230	-1556023380420
SPT(16)	1248741525926229931	0 12 30 58 72 78 82 100 150 168 172 178 192 220 238 250	-1305289656280
SPT(16)	1248742023989539997	0 12 30 42 56 60 84 102 134 152 176 180 194 206 224 236	-807226346214
STPT(10)	1248742234622431007	0 2 30 32 42 44 54 56 84 86	-596593455204
SPT(16)	1248742690621107401	0 38 42 96 110 126 186 228 230 272 332 348 362 416 420 458	-140594778810
STPT(10)	1248742963573827107	0 2 12 14 42 44 72 74 84 86	132357940896
STPT(10)	1248743083890146111	0 2 36 38 78 80 120 122 156 158	252674259900
STPT(10)	1248743099187229181	0 2 6 8 48 50 90 92 96 98	267971342970
SPT(16)	1248743143290534949	0 18 72 148 150 180 192 250 420 478 490 520 522 598 652 670	312074648738
STPT(10)	1248743259194110019	0 2 18 20 30 32 42 44 60 62	427978223808