Prime p₀= 2356383464361399691 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 20 36 6 30 4 20 166 20 4 30 6 36 20 10 (?)
a_n: 0 10 30 66 72 102 106 126 292 312 316 346 352 388 408 418
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: JohnMD
db: batch=81, k=16, 10 20 36 6 30 4 20 166

SPT(16)	2356381880141996821	0 6 72 76 90 100 136 202 396 462 498 508 522 526 592 598	-1584219402870
STPT(10)	2356382310303226019	0 2 42 44 90 92 138 140 180 182	-1154058173672
STPT(10)	2356382509748517137	0 2 30 32 42 44 54 56 84 86	-954612882554
STPT(10)	2356382820989720837	0 2 30 32 42 44 54 56 84 86	-643371678854
STPT(10)	2356383068308043441	0 2 6 8 18 20 30 32 36 38	-396053356250
STPT(10)	2356383196747488911	0 2 36 38 78 80 120 122 156 158	-267613910780
SPT(16)	2356383678035206321	0 42 60 66 88 106 108 126 172 190 192 210 232 238 256 298	213673806630
STPT(10)	2356384319932462847	0 2 30 32 42 44 54 56 84 86	855571063156
STPT(12)	2356385468863837319	0 2 18 20 60 62 150 152 192 194 210 212	2004502437628
SPT(16)	2356385544973561931	0 20 90 146 156 168 176 180 218 222 230 242 252 308 378 398	2080612162240
TPT(14)	2356385860831200059	0 2 120 122 180 182 198 200 210 212 222 224 240 242	2396469800368