Prime p₀= 2704149693358853737 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 48 22 2 6 90 16 90 6 2 22 48 6 6 (?)
a_n: 0 6 12 60 82 84 90 180 196 286 292 294 316 364 370 376
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: 376
Found by: JayPi
db: batch=82, k=16, 6 6 48 22 2 6 90 16

SPT(16)	2704148753401172533	0 4 24 40 54 130 156 186 274 304 330 406 420 436 456 460	-939957681204
STPT(10)	2704148901067542737	0 2 54 56 72 74 90 92 144 146	-792291311000
SPT(16)	2704149073081126477	0 60 66 120 132 144 154 202 204 252 262 274 286 340 346 406	-620277727260
STPT(10)	2704149145016192021	0 2 36 38 78 80 120 122 156 158	-548342661716
SPT(16)	2704149228596832539	0 12 14 48 68 78 90 92 150 152 164 174 194 228 230 242	-464762021198
SPT(16)	2704149421413276077	0 50 54 80 114 140 150 302 324 476 486 512 546 572 576 626	-271945577660
SPT(16)	2704149946626446749	0 12 58 60 118 124 148 162 250 264 288 294 352 354 400 412	253267593012
TPT(14)	2704150069404912047	0 2 84 86 150 152 162 164 174 176 192 194 204 206	376046058310
SPT(16)	2704150118634778579	0 12 28 30 42 94 100 142 150 192 198 250 262 264 280 292	425275924842
SPT(16)	2704150504900312067	0 6 32 90 122 146 164 194 222 252 270 294 326 384 410 416	811541458330
TPT(14)	2704150697640974297	0 2 204 206 210 212 282 284 342 344 414 416 672 674	1004282120560