Prime p₀= 2524378576013874257 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2524376133159031777	0 36 54 72 94 120 132 142 174 184 196 222 244 262 280 316	-2442854842480
SPT(16)	2524376269945918393	0 4 40 46 64 66 90 106 108 124 148 150 168 174 210 214	-2306067955864
SPT(16)	2524376508035618177	0 2 32 36 56 60 62 86 186 210 212 216 236 240 270 272	-2067978256080
SPT(16)	2524377368028653243	0 74 80 86 110 126 156 168 236 248 278 294 318 324 330 404	-1207985221014
SPT(16)	2524377967759617209	0 18 32 74 78 102 122 140 252 270 290 314 318 360 374 392	-608254257048
SPT(16)	2524378017377148403	0 34 58 100 150 168 184 280 318 414 430 448 498 540 564 598	-558636725854
SPT(16)	2524379192708647399	0 54 94 138 144 154 180 192 280 292 318 328 334 378 418 472	616694773142
STPT(10)	2524380055891909637	0 2 90 92 102 104 114 116 204 206	1479878035380
TPT(14)	2524380226310281457	0 2 72 74 84 86 240 242 252 254 282 284 522 524	1650296407200
STPT(10)	2524380401686593521	0 2 30 32 78 80 126 128 156 158	1825672719264
SPT(16)	2524380452560501721	0 2 6 68 90 132 168 170 198 200 236 278 300 362 366 368	1876546627464