Prime p₀= 1019899982765310947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

STPT(12)	1019899456321295489	0 2 18 20 42 44 78 80 102 104 120 122	-526444015458
STPT(10)	1019899507545987611	0 2 6 8 48 50 90 92 96 98	-475219323336
SPT(16)	1019899591881953213	0 30 44 68 98 126 140 236 288 384 398 426 456 480 494 524	-390883357734
SPT(16)	1019899700103243781	0 16 42 90 100 108 148 150 208 210 250 258 268 316 342 358	-282662067166
SPT(16)	1019899747212806071	0 22 36 52 156 160 192 196 282 286 318 322 426 442 456 478	-235552504876
TPT(14)	1019899957804055957	0 2 30 32 54 56 72 74 180 182 222 224 234 236	-24961254990
SPT(16)	1019900256688591739	0 54 74 110 152 170 180 192 200 212 222 240 282 318 338 392	273923280792
STPT(10)	1019900674951904087	0 2 24 26 42 44 60 62 84 86	692186593140
STPT(10)	1019900730961728191	0 2 36 38 78 80 120 122 156 158	748196417244
STPT(10)	1019900828986304687	0 2 90 92 102 104 114 116 204 206	846220993740
SPT(16)	1019900830983518051	0 42 50 60 68 110 122 126 152 156 168 210 218 228 236 278	848218207104