Prime p₀= 2325135991152003793 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 22 6 102 12 62 24 16 24 62 12 102 6 22 36 (?)
a_n: 0 36 58 64 166 178 240 264 280 304 366 378 480 486 508 544
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: Landjunge
db: batch=81, k=16, 36 22 6 102 12 62 24 16

SPT(16)	2325134794749194387	0 44 50 72 102 122 126 134 192 200 204 224 254 276 282 326	-1196402809406
SPT(16)	2325135117822226511	0 2 36 50 60 72 90 102 116 128 146 158 168 182 216 218	-873329777282
SPT(16)	2325135319834853549	0 8 14 74 140 144 158 192 260 294 308 312 378 438 444 452	-671317150244
TPT(14)	2325135415956989639	0 2 12 14 42 44 90 92 150 152 168 170 252 254	-575195014154
STPT(10)	2325135416575718429	0 2 48 50 90 92 132 134 180 182	-574576285364
SPT(16)	2325135542464805897	0 14 32 60 66 72 80 114 212 246 254 260 266 294 312 326	-448687197896
STPT(10)	2325136482285776771	0 2 78 80 108 110 138 140 216 218	491133772978
STPT(10)	2325136693855219757	0 2 42 44 102 104 162 164 204 206	702703215964
STPT(10)	2325136830082953671	0 2 36 38 78 80 120 122 156 158	838930949878
STPT(10)	2325137226611212127	0 2 90 92 102 104 114 116 204 206	1235459208334
SPT(16)	2325137449545076603	0 28 48 90 100 118 138 178 198 238 258 276 286 328 348 376	1458393072810