Prime p₀= 1035678521558366627 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

SPT(16)	1035677959024910347	0 4 12 16 34 82 154 156 280 282 354 402 420 424 432 436	-562533456280
SPT(16)	1035678120302460227	0 6 20 26 36 50 60 62 90 92 102 116 126 132 146 152	-401255906400
STPT(10)	1035678340480022381	0 2 6 8 18 20 30 32 36 38	-181078344246
SPT(16)	1035678406318531909	0 90 112 118 148 174 222 240 292 310 358 384 414 420 442 532	-115239834718
STPT(10)	1035678479803688489	0 2 18 20 30 32 42 44 60 62	-41754678138
SPT(16)	1035678504328883689	0 24 30 84 88 148 180 190 312 322 354 414 418 472 478 502	-17229482938
TPT(14)	1035678522529589009	0 2 30 32 78 80 192 194 198 200 318 320 390 392	971222382
STPT(10)	1035678559558748681	0 2 30 32 120 122 210 212 240 242	38000382054
STPT(10)	1035678944798649329	0 2 12 14 90 92 168 170 180 182	423240282702
STPT(10)	1035679202422875419	0 2 12 14 90 92 168 170 180 182	680864508792
SPT(16)	1035679272658654703	0 8 36 78 80 144 186 206 228 248 290 354 356 398 426 434	751100288076