Prime p₀= 1033355052286102001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 28 2 46 2

SPT(16)	1033353426041795021	0 18 20 42 62 80 120 122 126 128 168 186 206 228 230 248	-1626244306980
STPT(12)	1033353445756428449	0 2 48 50 78 80 90 92 120 122 168 170	-1606529673552
STPT(10)	1033353710731927589	0 2 12 14 90 92 168 170 180 182	-1341554174412
STPT(10)	1033354351309119809	0 2 12 14 30 32 48 50 60 62	-700976982192
SPT(16)	1033354701994114849	0 10 12 30 90 112 150 192 268 310 348 370 430 448 450 460	-350291987152
SPT(16)	1033354819461474529	0 4 52 64 84 90 112 144 238 270 292 298 318 330 378 382	-232824627472
STPT(10)	1033355447501224667	0 2 30 32 42 44 54 56 84 86	395215122666
STPT(10)	1033355790211088711	0 2 6 8 48 50 90 92 96 98	737924986710
SPT(16)	1033355800620832813	0 28 88 90 120 144 190 244 384 438 484 508 538 540 600 628	748334730812
SPT(16)	1033355871547108777	0 10 24 30 70 90 94 132 142 180 184 204 244 250 264 274	819261006776
SPT(16)	1033356116328652013	0 36 74 86 198 206 210 234 260 284 288 296 408 420 458 494	1064042550012