Prime p₀= 1127314735318074343 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 10 8 4 90 134 16 134 90 4 8 10 12 6 (?)
a_n: 0 6 18 28 36 40 130 264 280 414 504 508 516 526 538 544
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: 544
Found by: crashtech
db: batch=76, k=16, 6 12 10 8 4 90 134 16

STPT(10)	1127311789319362991	0 2 36 38 78 80 120 122 156 158	-2945998711352
SPT(16)	1127311969479599011	0 6 10 76 78 96 118 120 166 168 190 208 210 276 280 286	-2765838475332
SPT(16)	1127312438197219349	0 8 38 60 62 78 84 104 138 158 164 180 182 204 234 242	-2297120854994
SPT(16)	1127312556390035293	0 54 64 108 120 154 208 238 270 300 354 388 400 444 454 508	-2178928039050
STPT(10)	1127313548258872061	0 2 6 8 48 50 90 92 96 98	-1187059202282
TPT(14)	1127314321610730359	0 2 72 74 78 80 120 122 138 140 192 194 198 200	-413707343984
STPT(10)	1127314833383156711	0 2 66 68 138 140 210 212 276 278	98065082368
SPT(16)	1127314979870038871	0 20 42 132 140 162 168 198 260 290 296 318 326 416 438 458	244551964528
TPT(14)	1127315122269209219	0 2 12 14 78 80 90 92 108 110 162 164 342 344	386951134876
SPT(16)	1127315346297614281	0 10 52 66 82 100 112 120 322 330 342 360 376 390 432 442	610979539938
SPT(16)	1127315561240072629	0 12 42 88 120 138 172 190 192 210 244 262 294 340 370 382	825921998286