Prime p₀= 2509628637851084801 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2509627657854178493	0 8 14 56 74 144 164 168 206 210 230 300 318 360 366 374	-979996906308
SPT(16)	2509628132101073623	0 16 24 54 58 66 84 96 208 220 238 246 250 280 288 304	-505750011178
SPT(20)	2509628164588629433	0 40 46 88 100 108 156 174 180 186 208 214 220 238 286 294 306 348 354 394	-473262455368
SPT(16)	2509628478553066483	0 18 28 34 48 60 90 174 250 334 364 376 390 396 406 424	-159298018318
SPT(16)	2509628510906136371	0 36 42 90 96 126 146 176 222 252 272 302 308 356 362 398	-126944948430
SPT(16)	2509628556292806821	0 6 32 48 56 78 96 120 158 182 200 222 230 246 272 278	-81558277980
SPT(16)	2509629134899257017	0 14 30 66 86 114 152 176 210 234 272 300 320 356 372 386	497048172216
SPT(16)	2509629514830635809	0 10 42 54 58 72 82 84 148 150 160 174 178 190 222 232	876979551008
STPT(12)	2509629902207684999	0 2 12 14 42 44 78 80 108 110 120 122	1264356600198
STPT(10)	2509629967978874537	0 2 30 32 42 44 54 56 84 86	1330127789736
TPT(14)	2509630627730761187	0 2 42 44 90 92 120 122 162 164 300 302 312 314	1989879676386