Prime p₀= 2878722389919183853 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 82 8 40 2 4 30 20 30 4 2 40 8 82 24 (?)
a_n: 0 24 106 114 154 156 160 190 210 240 244 246 286 294 376 400
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: 400
Found by: Landjunge
db: batch=82, k=16, 24 82 8 40 2 4 30 20

SPT(16)	2878720665719244491	0 6 80 120 126 140 176 192 200 216 252 266 272 312 386 392	-1724199939362
STPT(10)	2878720792357808477	0 2 72 74 102 104 132 134 204 206	-1597561375376
SPT(16)	2878721543854242157	0 4 10 22 54 60 64 82 84 102 106 112 144 156 162 166	-846064941696
STPT(10)	2878721885248567409	0 2 78 80 120 122 162 164 240 242	-504670616444
SPT(16)	2878722216994379207	0 14 30 60 162 200 212 222 284 294 306 344 446 476 492 506	-172924804646
TPT(14)	2878722271420876709	0 2 48 50 162 164 168 170 180 182 252 254 288 290	-118498307144
SPT(16)	2878722413600523601	0 90 118 150 156 198 216 222 256 262 280 322 328 360 388 478	23681339748
STPT(10)	2878722569063477837	0 2 30 32 42 44 54 56 84 86	179144293984
STPT(10)	2878722753709953089	0 2 42 44 60 62 78 80 120 122	363790769236
STPT(10)	2878723045904842217	0 2 42 44 72 74 102 104 144 146	655985658364
SPT(16)	2878723245785085901	0 42 48 66 100 108 112 126 142 156 160 168 202 220 226 268	855865902048