Prime p₀= 2004206018152460747 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 2 4 14 10 14 6 256 6 14 10 14 4 2 30 (?)
a_n: 0 30 32 36 50 60 74 80 336 342 356 366 380 384 386 416
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: 416
Found by: vaughan
db: batch=80, k=16, 30 2 4 14 10 14 6 256

SPT(16)	2004203956028620573	0 16 30 66 78 84 106 118 156 168 190 196 208 244 258 274	-2062123840174
STPT(10)	2004204634304596781	0 2 30 32 78 80 126 128 156 158	-1383847863966
SPT(16)	2004204853233153523	0 24 54 64 88 124 148 168 250 270 294 330 354 364 394 418	-1164919307224
SPT(16)	2004204972825762059	0 84 108 110 168 222 234 272 300 338 350 404 462 464 488 572	-1045326698688
STPT(10)	2004205314969633791	0 2 36 38 78 80 120 122 156 158	-703182826956
SPT(16)	2004205897821103217	0 42 44 62 90 92 206 234 272 300 414 416 444 462 464 506	-120331357530
SPT(16)	2004206154484786199	0 2 8 110 114 138 168 194 198 224 254 278 282 384 390 392	136332325452
STPT(10)	2004206214324025331	0 2 6 8 48 50 90 92 96 98	196171564584
TPT(14)	2004206725400386889	0 2 30 32 72 74 180 182 222 224 258 260 312 314	707247926142
SPT(16)	2004206806264616077	0 10 12 82 94 112 144 154 192 202 234 252 264 334 336 346	788112155330
STPT(10)	2004207361387451201	0 2 36 38 78 80 120 122 156 158	1343234990454