Prime p₀= 2540349295959760939 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 10 72 30 20 18 12 46 12 18 20 30 72 10 30 (?)
a_n: 0 30 40 112 142 162 180 192 238 250 268 288 318 390 400 430
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: 430
Found by: Paul
db: batch=82, k=16, 30 10 72 30 20 18 12 46

SPT(16)	2540346722317515931	0 18 40 72 78 88 96 102 166 172 180 190 196 228 250 268	-2573642245008
SPT(16)	2540347396833213101	0 12 26 50 66 78 92 138 140 186 200 212 228 252 266 278	-1899126547838
SPT(16)	2540347399956707827	0 40 84 90 96 106 114 124 192 202 210 220 226 232 276 316	-1896003053112
SPT(18)	2540347596069729491	0 2 30 62 66 68 90 126 138 140 152 188 210 212 216 248 276 278	-1699890031448
SPT(16)	2540348535259219637	0 2 30 54 60 86 110 140 156 186 210 236 242 266 294 296	-760700541302
STPT(10)	2540348566386646187	0 2 30 32 42 44 54 56 84 86	-729573114752
STPT(10)	2540349563555687069	0 2 18 20 30 32 42 44 60 62	267595926130
SPT(16)	2540349751974034733	0 14 78 90 108 126 186 228 266 308 368 386 404 416 480 494	456014273794
SPT(16)	2540349809589989893	0 6 30 34 48 100 118 166 168 216 234 286 300 304 328 334	513630228954
SPT(16)	2540349931210436903	0 18 20 48 54 60 78 96 188 206 224 230 236 264 266 284	635250675964
SPT(16)	2540350033602589339	0 22 102 112 130 148 192 214 228 250 294 312 330 340 420 442	737642828400