Prime p₀= 2958617766032451371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2958615972361130297	0 2 60 62 72 74 84 86 144 146	-1793671321074
STPT(10)	2958616041106438379	0 2 18 20 30 32 42 44 60 62	-1724926012992
SPT(16)	2958616969161866503	0 24 64 100 148 184 196 204 310 318 330 366 414 450 490 514	-796870584868
SPT(16)	2958617026954584311	0 32 68 150 192 198 222 242 246 266 290 296 338 420 456 488	-739077867060
SPT(16)	2958617606722626473	0 6 74 84 98 104 128 150 164 186 210 216 230 240 308 314	-159309824898
SPT(16)	2958617625028921633	0 16 30 60 84 88 96 178 186 268 276 280 304 334 348 364	-141003529738
SPT(16)	2958617976028722031	0 6 22 66 72 126 142 192 250 300 316 370 376 420 436 442	209996270660
SPT(16)	2958618395590590367	0 22 46 70 76 90 96 130 162 196 202 216 222 246 270 292	629558138996
SPT(16)	2958618546792165227	0 14 20 50 62 192 204 260 306 362 374 504 516 546 552 566	780759713856
TPT(16)	2958618741628582787	0 2 54 56 144 146 150 152 210 212 234 236 264 266 282 284	975596131416
STPT(10)	2958618768551141807	0 2 42 44 72 74 102 104 144 146	1002518690436