Prime p₀= 2324037180746266537 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 6 14 70 56 70 18 8 18 70 56 70 14 6 10 (?)
a_n: 0 10 16 30 100 156 226 244 252 270 340 396 466 480 486 496
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: 496
Found by: Landjunge
db: batch=81, k=16, 10 6 14 70 56 70 18 8

SPT(16)	2324035430321082791	0 8 48 60 146 206 228 242 276 290 312 372 458 470 510 518	-1750425183746
SPT(16)	2324036109682054177	0 4 12 16 60 82 90 106 180 196 204 226 270 274 282 286	-1071064212360
STPT(10)	2324036437832074781	0 2 6 8 48 50 90 92 96 98	-742914191756
STPT(10)	2324036487275088491	0 2 6 8 48 50 90 92 96 98	-693471178046
SPT(16)	2324036724651503009	0 30 54 74 80 108 128 170 192 234 254 282 288 308 332 362	-456094763528
SPT(16)	2324036808807201737	0 12 56 60 116 152 194 254 282 342 384 420 476 480 524 536	-371939064800
STPT(10)	2324037430143913241	0 2 6 8 18 20 30 32 36 38	249397646704
TPT(14)	2324037432267096737	0 2 90 92 102 104 114 116 120 122 162 164 174 176	251520830200
SPT(16)	2324037939612082279	0 34 42 60 70 108 144 150 172 178 214 252 262 280 288 322	758865815742
SPT(16)	2324038355805685027	0 22 34 66 82 90 112 120 136 144 166 174 190 222 234 256	1175059418490
SPT(16)	2324038403149325141	0 2 26 30 60 68 126 132 206 212 270 278 308 312 336 338	1222403058604