Prime p₀= 2309256376806358457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 36 6 4 42 2 100 38 100 2 42 4 6 36 44 (?)
a_n: 0 44 80 86 90 132 134 234 272 372 374 416 420 426 462 506
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: 506
Found by: Joerg paleface Burkel
db: batch=81, k=16, 44 36 6 4 42 2 100 38

TPT(14)	2309255610756538751	0 2 126 128 138 140 150 152 156 158 240 242 390 392	-766049819706
STPT(10)	2309255842959378527	0 2 30 32 42 44 54 56 84 86	-533846979930
STPT(10)	2309255864946205541	0 2 36 38 78 80 120 122 156 158	-511860152916
SPT(16)	2309256050944981561	0 12 52 82 90 120 166 196 246 276 322 352 360 390 430 442	-325861376896
SPT(16)	2309256146472978347	0 14 32 66 116 126 150 182 204 236 260 270 320 354 372 386	-230333380110
SPT(16)	2309256349500049249	0 40 60 70 88 108 112 124 138 150 154 174 192 202 222 262	-27306309208
SPT(16)	2309256673229510317	0 24 34 36 52 76 180 196 300 316 420 444 460 462 472 496	296423151860
SPT(16)	2309258002405876811	0 2 32 66 80 92 132 156 176 200 240 252 266 300 330 332	1625599518354
STPT(10)	2309258184108010139	0 2 12 14 90 92 168 170 180 182	1807301651682
STPT(10)	2309258190217819847	0 2 30 32 42 44 54 56 84 86	1813411461390
TPT(14)	2309258196174412757	0 2 30 32 42 44 150 152 162 164 180 182 264 266	1819368054300