Prime p₀= 2563825150588588091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2563822517976439481	0 42 66 72 98 128 138 152 156 170 180 210 236 242 266 308	-2632612148610
STPT(10)	2563822891127948501	0 2 6 8 18 20 30 32 36 38	-2259460639590
TPT(14)	2563823603144598761	0 2 126 128 156 158 198 200 246 248 330 332 348 350	-1547443989330
STPT(10)	2563823769220404527	0 2 12 14 72 74 132 134 144 146	-1381368183564
SPT(16)	2563823814619321967	0 26 30 62 96 114 140 144 182 186 212 230 264 296 300 326	-1335969266124
SPT(16)	2563823830109452303	0 30 54 60 94 96 120 150 184 214 238 240 274 280 304 334	-1320479135788
STPT(10)	2563825191464316881	0 2 6 8 48 50 90 92 96 98	40875728790
SPT(16)	2563825664999945807	0 2 24 74 102 104 132 140 156 164 192 194 222 272 294 296	514411357716
TPT(14)	2563825724274703307	0 2 84 86 144 146 150 152 240 242 282 284 312 314	573686115216
SPT(16)	2563826113113756703	0 16 28 36 58 78 130 136 210 216 268 288 310 318 330 346	962525168612
STPT(10)	2563826585883368327	0 2 30 32 42 44 54 56 84 86	1435294780236