Prime p₀= 1687026183013931831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: CoolAtchOk
db: batch=79, k=10, 2 28 2 46 2

SPT(16)	1687025538802219039	0 12 54 64 114 120 142 172 180 210 232 238 288 298 340 352	-644211712792
STPT(10)	1687025559722915339	0 2 12 14 90 92 168 170 180 182	-623291016492
SPT(16)	1687025709213427993	0 4 34 36 70 88 126 166 168 208 246 264 298 300 330 334	-473800503838
SPT(16)	1687025754029367121	0 10 40 82 126 130 196 198 250 252 318 322 366 408 438 448	-428984564710
STPT(10)	1687025903249110481	0 2 36 38 78 80 120 122 156 158	-279764821350
STPT(10)	1687025942075538707	0 2 24 26 42 44 60 62 84 86	-240938393124
SPT(16)	1687026293706867461	0 20 108 126 176 188 192 278 300 386 390 402 452 470 558 578	110692935630
SPT(16)	1687026397354803493	0 28 30 76 108 120 178 186 328 336 394 406 438 484 486 514	214340871662
STPT(10)	1687026406078952969	0 2 30 32 60 62 90 92 120 122	223065021138
STPT(10)	1687026454792987541	0 2 36 38 78 80 120 122 156 158	271779055710
SPT(16)	1687026484679114363	0 24 38 54 66 114 120 200 204 284 290 338 350 366 380 404	301665182532