Prime p₀= 1011356999663320591 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 18 20 22 2 10 30 134 30 10 2 22 20 18 40 (?)
a_n: 0 40 58 78 100 102 112 142 276 306 316 318 340 360 378 418
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: 418
Found by: vinn@[CNT]
db: batch=76, k=16, 40 18 20 22 2 10 30 134

SPT(16)	1011356061854580367	0 16 22 30 70 132 142 144 202 204 214 276 316 324 330 346	-937808740224
STPT(10)	1011356313709345361	0 2 6 8 18 20 30 32 36 38	-685953975230
SPT(16)	1011356359732036679	0 8 48 50 102 132 138 140 180 182 188 218 270 272 312 320	-639931283912
SPT(16)	1011356548299199591	0 12 66 112 130 132 142 172 180 210 220 222 240 286 340 352	-451364121000
STPT(10)	1011356553102177221	0 2 36 38 78 80 120 122 156 158	-446561143370
SPT(16)	1011356645560434599	0 32 44 72 74 98 144 150 242 248 294 318 320 348 360 392	-354102885992
SPT(16)	1011357115696269409	0 4 12 18 34 40 58 90 112 144 162 168 184 190 198 202	116032948818
STPT(10)	1011357310440007511	0 2 78 80 138 140 198 200 276 278	310776686920
STPT(10)	1011357597292532429	0 2 18 20 60 62 102 104 120 122	597629211838
SPT(16)	1011357678054013859	0 8 18 24 60 114 158 170 408 420 464 518 554 560 570 578	678390693268
SPT(16)	1011357747679067611	0 18 28 60 78 132 226 252 286 312 406 460 478 510 520 538	748015747020