Prime p₀= 2306563731551820449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: FritzB
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2306562415913308117	0 10 22 24 76 90 94 120 136 162 166 180 232 234 246 256	-1315638512332
STPT(10)	2306562793642763057	0 2 84 86 132 134 180 182 264 266	-937909057392
SPT(16)	2306562835355885789	0 14 30 90 92 104 182 204 278 300 378 390 392 452 468 482	-896195934660
STPT(12)	2306562846680247851	0 2 36 38 48 50 78 80 90 92 126 128	-884871572598
SPT(16)	2306562900442086973	0 40 136 186 196 298 376 406 420 450 528 630 640 690 786 826	-831109733476
STPT(10)	2306562980312037059	0 2 18 20 30 32 42 44 60 62	-751239783390
SPT(16)	2306563802898646003	0 4 48 124 144 166 220 238 276 294 348 370 390 466 510 514	71346825554
STPT(10)	2306563922386170047	0 2 42 44 72 74 102 104 144 146	190834349598
STPT(10)	2306563935723910661	0 2 108 110 138 140 168 170 276 278	204172090212
SPT(16)	2306563995702880423	0 4 28 60 90 96 130 144 280 294 328 334 364 396 420 424	264151059974
SPT(16)	2306564050661286259	0 34 42 54 90 112 120 138 154 172 180 202 238 250 258 292	319109465810