Prime p₀= 2858371624723654181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2858370692601720613	0 58 120 126 130 136 154 184 330 360 378 384 388 394 456 514	-932121933568
STPT(10)	2858370861749787479	0 2 18 20 30 32 42 44 60 62	-762973866702
SPT(16)	2858370866890300217	0 26 44 60 66 74 84 92 144 152 162 170 176 192 210 236	-757833353964
SPT(16)	2858370975294851167	0 46 54 82 90 114 126 142 144 160 172 196 204 232 240 286	-649428803014
SPT(16)	2858371500864505733	0 18 20 50 66 74 90 104 120 134 150 158 174 204 206 224	-123859148448
SPT(16)	2858371517477841649	0 18 30 78 88 180 190 198 364 372 382 474 484 532 544 562	-107245812532
SPT(16)	2858371950820023019	0 22 30 54 82 114 228 282 340 394 508 540 568 592 600 622	326096368838
TPT(14)	2858372068277573381	0 2 30 32 48 50 78 80 198 200 210 212 216 218	443553919200
STPT(10)	2858372168662162961	0 2 186 188 198 200 210 212 396 398	543938508780
STPT(10)	2858372199018707807	0 2 42 44 72 74 102 104 144 146	574295053626
STPT(10)	2858372893136746757	0 2 30 32 72 74 114 116 144 146	1268413092576