Prime p₀= 1081008402271688747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 82 2 46 2

SPT(16)	1081007133157495871	0 18 38 60 108 122 126 158 210 242 246 260 308 330 350 368	-1269114192876
SPT(16)	1081007167679018557	0 54 70 76 94 96 120 126 130 136 160 162 180 186 202 256	-1234592670190
STPT(10)	1081007732322548867	0 2 42 44 72 74 102 104 144 146	-669949139880
SPT(16)	1081007802972787871	0 30 122 152 212 236 332 348 350 366 462 486 546 576 668 698	-599298900876
STPT(10)	1081007965322154797	0 2 42 44 72 74 102 104 144 146	-436949533950
SPT(16)	1081008100111964207	0 54 66 110 126 134 186 234 236 284 336 344 360 404 416 470	-302159724540
SPT(16)	1081008776226656423	0 24 110 116 150 164 224 236 408 420 480 494 528 534 620 644	373954967676
STPT(10)	1081009226587979639	0 2 18 20 30 32 42 44 60 62	824316290892
STPT(10)	1081009286811723119	0 2 12 14 90 92 168 170 180 182	884540034372
SPT(16)	1081009324039261367	0 56 66 90 116 164 170 174 182 186 192 240 266 290 300 356	921767572620
STPT(10)	1081009375018455431	0 2 6 8 48 50 90 92 96 98	972746766684