Prime p₀= 3008909290164382877 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	3008907815458455509	0 2 18 20 30 32 42 44 60 62	-1474705927368
SPT(16)	3008907968584482269	0 8 12 54 104 222 230 240 242 252 260 378 428 470 474 482	-1321579900608
SPT(16)	3008908154685632359	0 28 40 58 70 90 108 112 180 184 202 222 234 252 264 292	-1135478750518
STPT(10)	3008908367088703991	0 2 6 8 18 20 30 32 36 38	-923075678886
STPT(10)	3008908925929853057	0 2 42 44 72 74 102 104 144 146	-364234529820
STPT(10)	3008909183852897621	0 2 6 8 18 20 30 32 36 38	-106311485256
STPT(10)	3008909302370821481	0 2 30 32 78 80 126 128 156 158	12206438604
TPT(14)	3008909682366415127	0 2 24 26 102 104 150 152 240 242 252 254 312 314	392202032250
SPT(16)	3008909925462561599	0 14 50 68 98 108 128 150 182 204 224 234 264 282 318 332	635298178722
SPT(16)	3008909963965485287	0 50 54 56 74 110 140 144 152 156 186 222 240 242 246 296	673801102410
SPT(16)	3008910025157975051	0 18 66 72 116 156 248 266 312 330 422 462 506 512 560 578	734993592174