Prime p₀= 2725613774376483743 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 26 30 4 20 16 12 2 12 16 20 4 30 26 18 (?)
a_n: 0 18 44 74 78 98 114 126 128 140 156 176 180 210 236 254
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: 254
Found by: JayPi
db: batch=82, k=16, 18 26 30 4 20 16 12 2

SPT(16)	2725612906410158029	0 4 18 24 28 52 82 108 154 180 210 234 238 244 258 262	-867966325714
STPT(10)	2725612936619738117	0 2 30 32 42 44 54 56 84 86	-837756745626
STPT(10)	2725613183513619281	0 2 36 38 78 80 120 122 156 158	-590862864462
SPT(16)	2725613234049016709	0 74 80 104 114 222 228 294 338 404 410 518 528 552 558 632	-540327467034
SPT(16)	2725613365687119767	0 32 72 96 104 116 132 140 186 194 210 222 230 254 294 326	-408689363976
SPT(16)	2725613702460108409	0 34 94 160 178 180 208 228 244 264 292 294 312 378 438 472	-71916375334
SPT(16)	2725613952961368127	0 42 66 70 72 106 154 156 220 222 270 304 306 310 334 376	178584884384
STPT(10)	2725614034388528111	0 2 6 8 48 50 90 92 96 98	260012044368
SPT(16)	2725614503248987541	0 42 132 188 192 240 248 272 276 300 308 356 360 416 506 548	728872503798
SPT(16)	2725614527207603309	0 12 14 18 50 102 110 134 168 192 200 252 284 288 290 302	752831119566
STPT(10)	2725614575365359047	0 2 30 32 42 44 54 56 84 86	800988875304