Prime p₀= 2037582997465105817 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

STPT(12)	2037580125919515557	0 2 42 44 72 74 132 134 162 164 204 206	-2871545590260
TPT(14)	2037580460947815599	0 2 12 14 60 62 72 74 138 140 180 182 210 212	-2536517290218
STPT(10)	2037580733153376737	0 2 60 62 72 74 84 86 144 146	-2264311729080
STPT(10)	2037582730912862297	0 2 84 86 132 134 180 182 264 266	-266552243520
SPT(16)	2037582792309335899	0 42 70 82 150 162 172 228 322 378 388 400 468 480 508 550	-205155769918
SPT(16)	2037582962879261717	0 14 50 80 90 122 222 264 332 374 474 506 516 546 582 596	-34585844100
SPT(16)	2037583646073931349	0 18 20 42 50 60 62 78 104 120 122 132 140 162 164 182	648608825532
SPT(16)	2037583671729937801	0 18 66 100 120 150 156 178 240 262 268 298 318 352 400 418	674264831984
STPT(10)	2037583825976263307	0 2 30 32 42 44 54 56 84 86	828511157490
SPT(16)	2037583834796393941	0 10 18 58 78 126 148 150 316 318 340 388 408 448 456 466	837331288124
SPT(16)	2037583843497632207	0 56 60 84 110 120 134 162 284 312 326 336 362 386 390 446	846032526390