Prime p₀= 1505890073184273767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: vinn@[CNT]
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1505888772992378569	0 18 60 84 120 124 144 204 274 334 354 358 394 418 460 478	-1300191895198
SPT(16)	1505889217605928277	0 42 50 80 84 92 146 174 182 210 264 272 276 306 314 356	-855578345490
SPT(16)	1505889338459265521	0 6 72 80 102 152 156 182 240 266 270 320 342 350 416 422	-734725008246
SPT(16)	1505889446543699387	0 2 42 44 84 114 140 164 252 276 302 332 372 374 414 416	-626640574380
STPT(10)	1505889764087484047	0 2 30 32 42 44 54 56 84 86	-309096789720
SPT(16)	1505889972883726511	0 42 48 78 92 182 222 236 252 266 306 396 410 440 446 488	-100300547256
SPT(16)	1505890226202492901	0 18 30 40 58 72 78 102 166 190 196 210 228 238 250 268	153018219134
SPT(16)	1505890369927149149	0 14 20 38 72 104 128 180 182 234 258 290 324 342 348 362	296742875382
SPT(16)	1505890477213298101	0 28 30 46 66 100 126 168 178 220 246 280 300 316 318 346	404029024334
STPT(10)	1505890886281160567	0 2 24 26 42 44 60 62 84 86	813096886800
SPT(16)	1505891164386102751	0 60 78 90 130 162 262 270 280 288 388 420 460 472 490 550	1091201828984