Prime p₀= 2173798342587566657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2173796924599408271	0 38 56 78 92 122 126 182 186 242 246 276 290 312 330 368	-1417988158386
SPT(16)	2173797154554101201	0 20 26 42 72 80 132 228 320 416 468 476 506 522 528 548	-1188033465456
STPT(10)	2173797452820128957	0 2 42 44 132 134 222 224 264 266	-889767437700
SPT(16)	2173797474304708957	0 12 40 46 52 66 136 150 196 210 280 294 300 306 334 346	-868282857700
STPT(10)	2173797751031432759	0 2 48 50 60 62 72 74 120 122	-591556133898
SPT(18)	2173798154079656369	0 18 62 74 122 150 158 168 194 228 254 264 272 300 348 360 404 422	-188507910288
STPT(10)	2173798820501076029	0 2 18 20 30 32 42 44 60 62	477913509372
SPT(16)	2173799449980411359	0 8 44 78 122 140 234 264 278 308 402 420 464 498 534 542	1107392844702
SPT(16)	2173799562114159599	0 12 72 102 162 180 230 240 242 252 302 320 380 410 470 482	1219526592942
SPT(16)	2173799694826482221	0 38 66 78 116 120 146 168 248 270 296 300 338 350 378 416	1352238915564
STPT(10)	2173799711817770087	0 2 30 32 120 122 210 212 240 242	1369230203430