Prime p₀= 2507691924086345617 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 32 28 38 4 24 20 16 20 24 4 38 28 32 4 (?)
a_n: 0 4 36 64 102 106 130 150 166 186 210 214 252 280 312 316
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: 316
Found by: JayPi
db: batch=82, k=16, 4 32 28 38 4 24 20 16

SPT(16)	2507690277736913921	0 2 18 32 66 108 138 150 158 170 200 242 276 290 306 308	-1646349431696
STPT(10)	2507690565088124957	0 2 30 32 72 74 114 116 144 146	-1358998220660
TPT(14)	2507690900683529261	0 2 30 32 108 110 138 140 180 182 198 200 288 290	-1023402816356
TPT(14)	2507690918274078659	0 2 12 14 42 44 78 80 90 92 150 152 180 182	-1005812266958
SPT(16)	2507691376947957209	0 42 60 78 92 150 240 248 252 260 350 408 422 440 458 500	-547138388408
TPT(14)	2507691596259155921	0 2 30 32 96 98 108 110 138 140 168 170 198 200	-327827189696
SPT(16)	2507691949886006329	0 12 94 112 132 144 172 174 208 210 238 250 270 288 370 382	25799660712
STPT(12)	2507692302174984311	0 2 36 38 48 50 78 80 90 92 126 128	378088638694
TPT(14)	2507692635019976531	0 2 30 32 108 110 210 212 246 248 288 290 318 320	710933630914
STPT(10)	2507692813103484047	0 2 30 32 42 44 54 56 84 86	889017138430
SPT(16)	2507692877406798673	0 36 88 96 120 130 184 196 258 270 324 334 358 366 418 454	953320453056