Prime p₀= 1013422902350713079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: stoneageman
db: batch=76, k=10, 2 28 2 88 2

SPT(16)	1013421766903610399	0 14 24 62 98 104 110 128 234 252 258 264 300 338 348 362	-1135447102680
STPT(10)	1013421962990575517	0 2 30 32 42 44 54 56 84 86	-939360137562
SPT(16)	1013422140208169371	0 40 106 120 138 150 210 276 322 388 448 460 478 492 558 598	-762142543708
STPT(10)	1013422464815881829	0 2 42 44 60 62 78 80 120 122	-437534831250
SPT(16)	1013422728177669727	0 24 30 82 102 114 136 184 192 240 262 274 294 346 352 376	-174173043352
SPT(16)	1013422849530127453	0 54 58 114 138 160 180 190 258 268 288 310 334 390 394 448	-52820585626
SPT(16)	1013423153753784671	0 36 60 78 98 102 120 122 126 128 146 150 170 188 212 248	251403071592
SPT(16)	1013423249077769941	0 52 90 168 192 222 232 250 258 276 286 316 340 418 456 508	346727056862
SPT(16)	1013423310050078749	0 12 108 118 142 160 184 210 292 318 342 360 384 394 490 502	407699365670
SPT(16)	1013423603625805621	0 58 96 126 142 162 172 240 298 366 376 396 412 442 480 538	701275092542
SPT(16)	1013423706412499873	0 30 38 86 110 128 164 168 266 270 306 324 348 396 404 434	804061786794