Prime p₀= 2573498647330160609 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: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2573496968508884641	0 46 48 130 132 136 156 160 168 172 192 196 198 280 282 328	-1678821275968
STPT(10)	2573497461587825819	0 2 12 14 90 92 168 170 180 182	-1185742334790
STPT(10)	2573497501234717157	0 2 60 62 72 74 84 86 144 146	-1146095443452
SPT(16)	2573497617484569161	0 12 26 72 150 152 156 218 270 332 336 338 416 462 476 488	-1029845591448
STPT(10)	2573497865964547601	0 2 30 32 78 80 126 128 156 158	-781365613008
SPT(16)	2573498495169809759	0 12 24 68 74 128 170 194 198 222 264 318 324 368 380 392	-152160350850
SPT(16)	2573498676900175489	0 10 28 48 100 112 132 180 220 268 288 300 352 372 390 400	29570014880
STPT(10)	2573498872427863307	0 2 30 32 72 74 114 116 144 146	225097702698
STPT(10)	2573499172604569787	0 2 30 32 42 44 54 56 84 86	525274409178
SPT(16)	2573499236065528877	0 42 66 72 86 144 182 260 276 354 392 450 464 470 494 536	588735368268
STPT(10)	2573499528263197439	0 2 12 14 90 92 168 170 180 182	880933036830