Prime p₀= 2302999972122400907 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 46 44 6 6 10 14 130 14 10 6 6 44 46 20 (?)
a_n: 0 20 66 110 116 122 132 146 276 290 300 306 312 356 402 422
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: FritzB
db: batch=81, k=16, 20 46 44 6 6 10 14 130

SPT(16)	2302998616120866071	0 90 102 116 168 182 188 200 258 270 276 290 342 356 368 458	-1356001534836
STPT(10)	2302999340737492091	0 2 36 38 78 80 120 122 156 158	-631384908816
SPT(16)	2302999341918449641	0 36 52 60 78 88 112 136 162 186 210 220 238 246 262 298	-630203951266
SPT(16)	2302999476959100379	0 4 18 120 130 144 172 174 208 210 238 252 262 364 378 382	-495163300528
SPT(16)	2302999511719802353	0 6 28 196 226 280 300 306 310 316 336 390 420 588 610 616	-460402598554
STPT(10)	2302999746810986549	0 2 18 20 30 32 42 44 60 62	-225311414358
SPT(16)	2302999986347757517	0 52 60 84 94 100 120 130 174 184 204 210 220 244 252 304	14225356610
SPT(16)	2303000522483586203	0 56 78 98 174 186 200 204 230 234 248 260 336 356 378 434	550361185296
STPT(10)	2303000668077424877	0 2 42 44 72 74 102 104 144 146	695955023970
SPT(16)	2303001337171285559	0 8 42 48 68 98 132 174 188 230 264 294 314 320 354 362	1365048884652
STPT(10)	2303001498195858137	0 2 30 32 42 44 54 56 84 86	1526073457230