Prime p₀= 2037151222020395309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: MechWarrior
db: batch=80, k=10, 2 10 2 76 2

SPT(20)	2037150453081680201	0 38 42 126 152 182 200 206 248 266 282 300 342 348 366 396 422 506 510 548	-768938715108
SPT(16)	2037150673353359821	0 12 28 70 88 102 118 132 166 180 196 210 228 270 286 298	-548667035488
SPT(16)	2037150771201351551	0 6 20 36 42 96 102 252 356 506 512 566 572 588 602 608	-450819043758
SPT(16)	2037150897118627219	0 18 30 88 102 132 150 174 178 202 220 250 264 322 334 352	-324901768090
SPT(16)	2037150961964194463	0 18 60 84 114 128 144 156 158 170 186 200 230 254 296 314	-260056200846
STPT(10)	2037151077365871221	0 2 66 68 138 140 210 212 276 278	-144654524088
STPT(10)	2037151239487229441	0 2 36 38 78 80 120 122 156 158	17466834132
SPT(16)	2037151434710622157	0 114 132 166 196 202 210 222 244 256 264 270 300 334 352 466	212690226848
SPT(16)	2037151485018960899	0 12 14 42 44 150 168 182 210 224 242 348 350 378 380 392	262998565590
STPT(10)	2037151524082827377	0 2 30 32 42 44 54 56 84 86	302062432068
STPT(10)	2037151799815807691	0 2 30 32 78 80 126 128 156 158	577795412382