Prime p₀= 2004205897821103217 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 2 18 28 2 114 28 38 28 114 2 28 18 2 42 (?)
a_n: 0 42 44 62 90 92 206 234 272 300 414 416 444 462 464 506
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: 506
Found by: vaughan
db: batch=80, k=16, 42 2 18 28 2 114 28 38

SPT(16)	2004203934826759537	0 4 34 54 70 76 84 100 156 172 180 186 202 222 252 256	-1962994343680
SPT(16)	2004203956028620573	0 16 30 66 78 84 106 118 156 168 190 196 208 244 258 274	-1941792482644
STPT(10)	2004204634304596781	0 2 30 32 78 80 126 128 156 158	-1263516506436
SPT(16)	2004204853233153523	0 24 54 64 88 124 148 168 250 270 294 330 354 364 394 418	-1044587949694
SPT(16)	2004204972825762059	0 84 108 110 168 222 234 272 300 338 350 404 462 464 488 572	-924995341158
STPT(10)	2004205314969633791	0 2 36 38 78 80 120 122 156 158	-582851469426
SPT(16)	2004206018152460747	0 30 32 36 50 60 74 80 336 342 356 366 380 384 386 416	120331357530
SPT(16)	2004206154484786199	0 2 8 110 114 138 168 194 198 224 254 278 282 384 390 392	256663682982
STPT(10)	2004206214324025331	0 2 6 8 48 50 90 92 96 98	316502922114
TPT(14)	2004206725400386889	0 2 30 32 72 74 180 182 222 224 258 260 312 314	827579283672
SPT(16)	2004206806264616077	0 10 12 82 94 112 144 154 192 202 234 252 264 334 336 346	908443512860