Prime p₀= 2799147074339140631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2799145510407964603	0 6 90 96 106 124 168 198 256 286 330 348 358 364 448 454	-1563931176028
SPT(16)	2799145905583116337	0 24 40 72 76 94 150 154 162 166 222 240 244 276 292 316	-1168756024294
TPT(14)	2799146304233455439	0 2 168 170 180 182 222 224 240 242 258 260 282 284	-770105685192
STPT(10)	2799146659804860119	0 2 18 20 30 32 42 44 60 62	-414534280512
STPT(10)	2799146983012938359	0 2 42 44 90 92 138 140 180 182	-91326202272
STPT(10)	2799146993720202449	0 2 42 44 60 62 78 80 120 122	-80618938182
SPT(16)	2799147679434133343	0 18 38 66 110 170 206 210 224 228 264 324 368 396 416 434	605094992712
SPT(16)	2799148195518990109	0 34 72 84 112 138 142 198 214 270 274 300 328 340 378 412	1121179849478
SPT(16)	2799148436345780261	0 18 32 42 68 86 108 140 168 200 222 240 266 276 290 308	1362006639630
STPT(12)	2799148454325555791	0 2 30 32 90 92 96 98 156 158 186 188	1379986415160
STPT(10)	2799148520080670999	0 2 48 50 90 92 132 134 180 182	1445741530368