Prime p₀= 2899802124185327687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2899800817060063079	0 44 50 74 80 144 192 210 242 260 308 372 378 402 408 452	-1307125264608
SPT(16)	2899801176703047061	0 30 40 46 60 90 130 148 180 198 238 268 282 288 298 328	-947482280626
STPT(10)	2899801332165796649	0 2 48 50 90 92 132 134 180 182	-792019531038
SPT(16)	2899801373733761261	0 20 30 36 116 150 186 200 216 230 266 300 380 386 396 416	-750451566426
SPT(16)	2899801383147110551	0 42 70 76 156 172 240 270 322 352 420 436 516 522 550 592	-741038217136
SPT(16)	2899801977341150347	0 64 120 204 280 286 310 336 400 426 450 456 532 616 672 736	-146844177340
TPT(14)	2899802153566667357	0 2 114 116 150 152 162 164 240 242 264 266 360 362	29381339670
STPT(10)	2899802213034138407	0 2 30 32 72 74 114 116 144 146	88848810720
STPT(10)	2899802744200503527	0 2 12 14 42 44 72 74 84 86	620015175840
STPT(10)	2899802872885583837	0 2 30 32 42 44 54 56 84 86	748700256150
SPT(16)	2899803543462350719	0 18 28 54 60 124 148 154 228 234 258 322 328 354 364 382	1419277023032