Prime p₀= 2510223535053395591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	2510222235341930981	0 42 48 62 92 110 188 260 300 372 450 468 498 512 518 560	-1299711464610
STPT(10)	2510222707161116279	0 2 48 50 90 92 132 134 180 182	-827892279312
TPT(14)	2510223020801287997	0 2 72 74 84 86 102 104 162 164 210 212 240 242	-514252107594
SPT(16)	2510223116684969839	0 52 82 112 114 118 150 160 192 202 234 238 240 270 300 352	-418368425752
SPT(16)	2510223359459715821	0 8 20 38 50 126 206 258 260 312 392 468 480 498 510 518	-175593679770
SPT(16)	2510223369703927081	0 22 36 42 78 100 106 130 138 162 168 190 226 232 246 268	-165349468510
STPT(10)	2510223733953418079	0 2 18 20 60 62 102 104 120 122	198900022488
SPT(16)	2510223907301369947	0 4 24 42 52 70 94 136 270 312 336 354 364 382 402 406	372247974356
STPT(10)	2510223938581834997	0 2 30 32 42 44 54 56 84 86	403528439406
SPT(16)	2510224004037331837	0 22 34 52 112 156 190 216 220 246 280 324 384 402 414 436	468983936246
SPT(16)	2510224413700150267	0 42 70 106 150 172 190 220 306 336 354 376 420 456 484 526	878646754676