Prime p₀= 2798126953648206137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2798124781519890049	0 24 30 40 42 148 190 208 264 282 324 430 432 442 448 472	-2172128316088
SPT(16)	2798124860795566987	0 60 70 76 94 102 124 154 192 222 244 252 270 276 286 346	-2092852639150
SPT(16)	2798125009496387507	0 24 56 74 80 126 144 254 312 422 440 486 492 510 542 566	-1944151818630
STPT(10)	2798125424490833819	0 2 48 50 90 92 132 134 180 182	-1529157372318
SPT(16)	2798126211752501759	0 20 30 84 132 134 138 152 240 254 258 260 308 362 372 392	-741895704378
STPT(10)	2798126920677345287	0 2 30 32 60 62 90 92 120 122	-32970860850
STPT(10)	2798127178959200117	0 2 30 32 42 44 54 56 84 86	225310993980
STPT(10)	2798127247536561119	0 2 48 50 90 92 132 134 180 182	293888354982
SPT(16)	2798127402957421537	0 114 120 156 184 226 270 294 316 340 384 426 454 490 496 610	449309215400
SPT(16)	2798128127952046433	0 60 66 96 164 180 206 264 290 348 374 390 458 488 494 554	1174303840296
SPT(16)	2798128181232298391	0 26 32 80 92 102 126 140 162 176 200 210 222 270 276 302	1227584092254