Prime p₀= 1272554068992637817 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1272553312343082841	0 42 70 108 120 162 172 208 420 456 466 508 520 558 586 628	-756649554976
SPT(16)	1272553355363578109	0 2 24 104 120 134 204 210 302 308 378 392 408 488 510 512	-713629059708
SPT(16)	1272553405350257467	0 10 54 64 84 90 114 126 274 286 310 316 336 346 390 400	-663642380350
STPT(10)	1272553650145268717	0 2 30 32 72 74 114 116 144 146	-418847369100
STPT(10)	1272553728799232981	0 2 6 8 48 50 90 92 96 98	-340193404836
STPT(10)	1272553792342313027	0 2 30 32 42 44 54 56 84 86	-276650324790
SPT(16)	1272554076426504041	0 120 128 158 210 218 228 282 386 440 450 458 510 540 548 668	7433866224
SPT(16)	1272554109190216169	0 32 44 62 74 84 132 162 182 212 260 270 282 300 312 344	40197578352
SPT(16)	1272554221311490531	0 16 22 30 36 42 58 100 108 150 166 172 178 186 192 208	152318852714
SPT(16)	1272554378509240823	0 36 54 66 80 86 104 150 320 366 384 390 404 416 434 470	309516603006
STPT(10)	1272554497100298257	0 2 24 26 42 44 60 62 84 86	428107660440