Prime p₀= 726878267776615483 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 36 14 6 40 14 28 2 28 14 40 6 14 36 28 (?)
a_n: 0 28 64 78 84 124 138 166 168 196 210 250 256 270 306 334
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: 334
Found by: crashtech
db: batch=73, k=16, 28 36 14 6 40 14 28 2

SPT(16)	726877205473582967	0 12 30 42 60 72 86 96 116 126 140 152 170 182 200 212	-1062303032516
STPT(10)	726877252066358747	0 2 12 14 72 74 132 134 144 146	-1015710256736
SPT(16)	726877276936665521	0 6 42 66 78 80 86 102 146 162 168 170 182 206 242 248	-990839949962
SPT(16)	726877398954170039	0 2 14 30 60 78 120 144 188 212 254 272 302 318 330 332	-868822445444
SPT(16)	726877844815322587	0 4 24 46 70 126 154 160 210 216 244 300 324 346 366 370	-422961292896
STPT(10)	726878016969052547	0 2 30 32 42 44 54 56 84 86	-250807562936
SPT(16)	726878289738098921	0 80 108 120 146 150 176 206 222 252 278 282 308 320 348 428	21961483438
TPT(14)	726878370673360097	0 2 24 26 84 86 132 134 174 176 234 236 252 254	102896744614
SPT(16)	726878532600955531	0 16 18 40 42 58 66 82 156 172 180 196 198 220 222 238	264824340048
SPT(16)	726878602163342437	0 30 46 72 90 120 130 144 382 396 406 436 454 480 496 526	334386726954
STPT(10)	726878677627232717	0 2 30 32 72 74 114 116 144 146	409850617234