Prime p₀= 2723060217798791747 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2723057891735963723	0 8 60 74 78 96 110 194 210 294 308 326 330 344 396 404	-2326062828024
STPT(10)	2723058001561831907	0 2 30 32 42 44 54 56 84 86	-2216236959840
SPT(16)	2723058382977024713	0 38 60 186 210 234 236 246 308 318 320 344 368 494 516 554	-1834821767034
SPT(16)	2723058475466171939	0 38 50 62 90 120 180 182 270 272 332 362 390 402 414 452	-1742332619808
SPT(16)	2723059819664859947	0 2 6 42 44 90 132 164 192 224 266 312 314 350 354 356	-398133931800
STPT(10)	2723059944940412219	0 2 18 20 30 32 42 44 60 62	-272858379528
SPT(16)	2723060443931977649	0 14 42 80 90 140 164 170 192 198 222 272 282 320 348 362	226133185902
SPT(16)	2723060786493582553	0 18 64 106 120 144 156 166 228 238 250 274 288 330 376 394	568694790806
SPT(20)	2723060964756685453	0 10 66 90 160 174 190 196 228 234 340 346 378 384 400 414 484 508 564 574	746957893706
SPT(16)	2723061156756582277	0 10 12 42 94 96 160 172 174 186 250 252 304 334 336 346	938957790530
SPT(16)	2723061233989401979	0 4 10 88 102 130 174 214 258 298 342 370 384 462 468 472	1016190610232