Prime p₀= 2423999869229392841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Roadranner
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2423998655023686259	0 10 72 82 138 150 168 208 264 304 322 334 390 400 462 472	-1214205706582
SPT(16)	2423998954409051611	0 16 42 48 102 126 130 132 196 198 202 226 280 286 312 328	-914820341230
STPT(10)	2423998961219093507	0 2 12 14 42 44 72 74 84 86	-908010299334
SPT(16)	2423999314068347593	0 6 58 76 144 198 204 208 246 250 256 310 378 396 448 454	-555161045248
SPT(16)	2423999537298840881	0 32 50 98 122 168 230 260 300 330 392 438 462 510 528 560	-331930551960
SPT(16)	2423999578112228927	0 42 54 62 72 114 152 266 270 384 422 464 474 482 494 536	-291117163914
SPT(16)	2423999995445818781	0 6 56 78 92 110 120 138 140 158 168 186 200 222 272 278	126216425940
TPT(14)	2424000105865455251	0 2 30 32 78 80 96 98 120 122 180 182 246 248	236636062410
SPT(16)	2424000741673917137	0 30 72 92 114 132 146 162 194 210 224 242 264 284 326 356	872444524296
STPT(10)	2424000875861305847	0 2 30 32 42 44 54 56 84 86	1006631913006
STPT(10)	2424001409245448729	0 2 12 14 90 92 168 170 180 182	1540016055888