Prime p₀= 2689374349224977147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2689373546124166631	0 20 36 42 72 78 122 132 416 426 470 476 506 512 528 548	-803100810516
TPT(14)	2689373560435600007	0 2 54 56 210 212 300 302 312 314 324 326 384 386	-788789377140
SPT(18)	2689373669462183621	0 12 36 66 156 162 198 222 242 246 266 290 326 332 422 452 476 488	-679762793526
STPT(10)	2689373867663982617	0 2 30 32 42 44 54 56 84 86	-481560994530
SPT(16)	2689374023742996893	0 36 90 108 158 176 254 290 294 330 408 426 476 494 548 584	-325481980254
TPT(14)	2689374126300104567	0 2 30 32 162 164 174 176 342 344 372 374 384 386	-222924872580
SPT(16)	2689375393948173797	0 20 42 60 114 132 150 164 192 206 224 242 296 314 336 356	1044723196650
SPT(16)	2689375865632051493	0 24 50 120 126 140 200 216 218 234 294 308 314 384 410 434	1516407074346
SPT(16)	2689375958168069743	0 6 28 34 48 60 100 108 136 144 184 196 210 216 238 244	1608943092596
STPT(10)	2689375980299228117	0 2 42 44 72 74 102 104 144 146	1631074250970
SPT(16)	2689376093389893079	0 22 54 60 112 160 228 250 252 274 342 390 442 448 480 502	1744164915932