Prime p₀= 1519011743147188247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

TPT(14)	1519011481986873071	0 2 30 32 96 98 108 110 150 152 198 200 246 248	-261160315176
SPT(16)	1519011551746201543	0 28 46 66 70 78 148 150 214 216 286 294 298 318 336 364	-191400986704
SPT(16)	1519011597530316971	0 60 68 90 92 110 152 210 278 336 378 396 398 420 428 488	-145616871276
SPT(16)	1519011606311115599	0 18 44 60 74 114 158 168 170 180 224 264 278 294 320 338	-136836072648
SPT(16)	1519011656646538741	0 12 30 42 52 58 60 88 120 148 150 156 166 178 196 208	-86500649506
SPT(16)	1519011659241144839	0 14 60 72 140 162 182 194 210 222 242 264 332 344 390 404	-83906043408
STPT(10)	1519011823308785129	0 2 42 44 60 62 78 80 120 122	80161596882
SPT(16)	1519012670231367781	0 52 172 178 186 246 252 280 348 376 382 442 450 456 576 628	927084179534
SPT(16)	1519012838322006553	0 58 70 84 100 106 136 138 166 168 198 204 220 234 246 304	1095174818306
SPT(16)	1519013285393979191	0 32 42 48 68 78 138 182 306 350 410 420 440 446 456 488	1542246790944
STPT(10)	1519013313236840807	0 2 12 14 42 44 72 74 84 86	1570089652560