Prime p₀= 2540350397359653673 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 24 6 38 42 18 22 38 22 18 42 38 6 24 16 (?)
a_n: 0 16 40 46 84 126 144 166 204 226 244 286 324 330 354 370
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: 370
Found by: Paul
db: batch=82, k=16, 16 24 6 38 42 18 22 38

SPT(16)	2540349295959760939	0 30 40 112 142 162 180 192 238 250 268 288 318 390 400 430	-1101399892734
STPT(10)	2540349563555687069	0 2 18 20 30 32 42 44 60 62	-833803966604
SPT(16)	2540349751974034733	0 14 78 90 108 126 186 228 266 308 368 386 404 416 480 494	-645385618940
SPT(16)	2540349809589989893	0 6 30 34 48 100 118 166 168 216 234 286 300 304 328 334	-587769663780
SPT(16)	2540349931210436903	0 18 20 48 54 60 78 96 188 206 224 230 236 264 266 284	-466149216770
SPT(16)	2540350033602589339	0 22 102 112 130 148 192 214 228 250 294 312 330 340 420 442	-363757064334
STPT(10)	2540350608284239241	0 2 126 128 168 170 210 212 336 338	210924585568
STPT(10)	2540350693272079451	0 2 30 32 78 80 126 128 156 158	295912425778
STPT(10)	2540351006576370677	0 2 30 32 42 44 54 56 84 86	609216717004
SPT(16)	2540351391442002503	0 44 54 66 96 120 144 150 170 176 200 224 254 266 276 320	994082348830
STPT(10)	2540351516890792679	0 2 42 44 90 92 138 140 180 182	1119531139006