Prime p₀= 2561657878493332427 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: conf [MM]
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2561656944644265487	0 4 12 60 82 126 144 180 196 232 250 294 316 364 372 376	-933849066940
STPT(10)	2561657126237505377	0 2 42 44 72 74 102 104 144 146	-752255827050
TPT(14)	2561657128071273431	0 2 78 80 90 92 216 218 258 260 300 302 336 338	-750422058996
STPT(10)	2561657319197813831	0 2 36 38 78 80 120 122 156 158	-559295518596
STPT(10)	2561657376760529987	0 2 30 32 60 62 90 92 120 122	-501732802440
STPT(10)	2561657405660956661	0 2 36 38 78 80 120 122 156 158	-472832375766
STPT(10)	2561658189382340591	0 2 6 8 48 50 90 92 96 98	310889008164
SPT(16)	2561658257329510793	0 6 20 26 98 114 186 188 276 278 350 366 438 444 458 464	378836178366
SPT(16)	2561658404245148639	0 2 12 18 54 72 78 92 120 134 140 158 194 200 210 212	525751816212
TPT(14)	2561658961531890287	0 2 12 14 60 62 132 134 144 146 210 212 264 266	1083038557860
SPT(16)	2561659076196743707	0 6 42 66 72 84 130 142 144 156 202 214 220 244 280 286	1197703411280