Prime p₀= 1016786750422121669 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: Theadalus
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1016786045491473143	0 14 50 98 116 168 188 200 204 216 236 288 306 354 390 404	-704930648526
STPT(10)	1016786091779522759	0 2 30 32 60 62 90 92 120 122	-658642598910
SPT(16)	1016786153132152631	0 8 18 42 50 128 176 198 200 222 270 348 356 380 390 398	-597289969038
STPT(10)	1016786311168468031	0 2 36 38 78 80 120 122 156 158	-439253653638
STPT(10)	1016786446428527441	0 2 6 8 18 20 30 32 36 38	-303993594228
STPT(10)	1016786615795683487	0 2 42 44 72 74 102 104 144 146	-134626438182
SPT(16)	1016787004532429521	0 46 76 108 156 240 286 318 328 360 406 490 538 570 600 646	254110307852
STPT(10)	1016787256338891647	0 2 30 32 42 44 54 56 84 86	505916769978
SPT(16)	1016787729430851613	0 4 16 28 30 120 130 144 250 264 274 364 366 378 390 394	979008729944
SPT(16)	1016788174557307637	0 6 50 66 140 144 146 162 254 270 272 276 350 366 410 416	1424135185968
SPT(16)	1016788276089558367	0 36 82 90 106 132 180 184 222 226 274 300 316 324 370 406	1525667436698