Prime p₀= 1314086870114273789 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 28 42 8 4 30 26 34 26 30 4 8 42 28 2 (?)
a_n: 0 2 30 72 80 84 114 140 174 200 230 234 242 284 312 314
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: 314
Found by: Theadalus
db: batch=77, k=16, 2 28 42 8 4 30 26 34

SPT(16)	1314085684870333883	0 8 74 98 198 200 204 294 314 404 408 410 510 534 600 608	-1185243939906
SPT(16)	1314086050782638239	0 12 30 42 54 58 100 142 150 192 234 238 250 262 280 292	-819331635550
SPT(16)	1314086174856323809	0 30 70 84 114 118 132 142 150 160 174 178 208 222 262 292	-695257949980
SPT(16)	1314086213161066153	0 4 18 84 138 198 204 216 238 250 256 316 370 436 450 454	-656953207636
SPT(16)	1314086386378635977	0 2 24 56 104 144 162 186 230 254 272 312 360 392 414 416	-483735637812
STPT(10)	1314086608519673249	0 2 18 20 30 32 42 44 60 62	-261594600540
SPT(16)	1314086895249367879	0 54 72 100 124 178 204 220 222 238 264 318 342 370 388 442	25135094090
STPT(10)	1314087067836952229	0 2 42 44 60 62 78 80 120 122	197722678440
SPT(16)	1314087481714773637	0 34 54 72 76 106 166 202 204 240 300 330 334 352 372 406	611600499848
TPT(14)	1314087610155946361	0 2 36 38 150 152 240 242 246 248 306 308 378 380	740041672572
SPT(16)	1314087665976398641	0 42 70 76 82 126 132 172 210 250 256 300 306 312 340 382	795862124852