Prime p₀= 1014509686344018047 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

TPT(14)	1014507654365058851	0 2 48 50 90 92 240 242 438 440 450 452 516 518	-2031978959196
SPT(16)	1014507709003286027	0 6 116 140 144 150 204 234 242 272 326 332 336 360 470 476	-1977340732020
SPT(16)	1014507822109233457	0 64 106 154 162 220 244 246 250 252 276 334 342 390 432 496	-1864234784590
SPT(16)	1014508312305008399	0 14 42 54 68 74 92 104 168 180 198 204 218 230 258 272	-1374039009648
SPT(16)	1014508667042834251	0 12 18 46 82 96 100 112 156 168 172 186 222 250 256 268	-1019301183796
SPT(16)	1014509593332637307	0 6 36 42 72 120 146 182 240 276 302 350 380 386 416 422	-93011380740
SPT(16)	1014509862879794063	0 24 30 38 54 56 74 110 144 180 198 200 216 224 230 254	176535776016
SPT(16)	1014509934038308811	0 38 80 98 158 182 188 230 270 312 318 342 402 420 462 500	247694290764
TPT(14)	1014509935902422231	0 2 30 32 156 158 180 182 186 188 228 230 306 308	249558404184
SPT(16)	1014510754570647401	0 72 86 96 162 182 188 198 200 210 216 236 302 312 326 398	1068226629354
STPT(10)	1014510876910735019	0 2 12 14 30 32 48 50 60 62	1190566716972