Prime p₀= 1127358428760474577 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 70 32 16 12 2 12 124 12 2 12 16 32 70 42 (?)
a_n: 0 42 112 144 160 172 174 186 310 322 324 336 352 384 454 496
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: 496
Found by: crashtech
db: batch=76, k=16, 42 70 32 16 12 2 12 124

STPT(10)	1127358089945073167	0 2 30 32 42 44 54 56 84 86	-338815401410
SPT(16)	1127358135806296279	0 18 42 78 90 118 132 190 270 328 342 370 382 418 442 460	-292954178298
SPT(16)	1127358261298718681	0 12 18 56 86 96 122 126 152 156 182 192 222 260 266 278	-167461755896
SPT(16)	1127358324807030931	0 60 88 90 96 108 118 150 286 318 328 340 346 348 376 436	-103953443646
SPT(16)	1127358332685447197	0 14 20 32 74 126 152 156 170 174 200 252 294 306 312 326	-96075027380
SPT(16)	1127358376458849833	0 48 56 74 78 90 126 156 158 188 224 236 240 258 266 314	-52301624744
TPT(14)	1127358553779893117	0 2 12 14 60 62 72 74 114 116 282 284 300 302	125019418540
STPT(10)	1127359074933280457	0 2 30 32 72 74 114 116 144 146	646172805880
SPT(16)	1127359478427955327	0 16 70 136 162 190 252 280 282 310 372 400 426 492 546 562	1049667480750
SPT(16)	1127360148052359119	0 8 20 42 72 84 98 138 164 204 218 230 260 282 294 302	1719291884542
STPT(10)	1127360181220718087	0 2 24 26 42 44 60 62 84 86	1752460243510