Prime p₀= 1300120798222030597 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 4 6 18 42 8 40 2 40 8 42 18 6 4 36 (?)
a_n: 0 36 40 46 64 106 114 154 156 196 204 246 264 270 274 310
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: 310
Found by: HenkM
db: batch=77, k=16, 36 4 6 18 42 8 40 2

SPT(16)	1300119348159065767	0 64 84 132 142 144 204 210 274 280 340 342 352 400 420 484	-1450062964830
SPT(16)	1300120080135035693	0 14 30 56 84 108 114 134 240 260 266 290 318 344 360 374	-718086994904
STPT(10)	1300120225616383667	0 2 60 62 72 74 84 86 144 146	-572605646930
SPT(16)	1300120510626420361	0 72 142 160 172 186 196 238 270 312 322 336 348 366 436 508	-287595610236
SPT(16)	1300120790446872293	0 54 78 96 104 144 168 176 228 236 260 300 308 326 350 404	-7775158304
TPT(14)	1300120794330472967	0 2 24 26 54 56 150 152 180 182 222 224 240 242	-3891557630
STPT(10)	1300120901129747297	0 2 30 32 42 44 54 56 84 86	102907716700
SPT(16)	1300121112471246671	0 20 26 42 48 62 72 86 102 116 126 140 146 162 168 188	314249216074
TPT(14)	1300121126853375989	0 2 192 194 222 224 288 290 318 320 372 374 390 392	328631345392
STPT(10)	1300121199108126047	0 2 42 44 72 74 102 104 144 146	400886095450
SPT(16)	1300121563220328389	0 8 24 38 48 84 92 102 290 300 308 344 354 368 384 392	764998297792