Prime p₀= 2591714298985817527 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 4 98 12 4 32 4 164 4 32 4 12 98 4 12 (?)
a_n: 0 12 16 114 126 130 162 166 330 334 366 370 382 480 484 496
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: JayPi
db: batch=82, k=16, 12 4 98 12 4 32 4 164

SPT(16)	2591713003659807883	0 70 100 120 126 144 160 186 214 240 256 274 280 300 330 400	-1295326009644
SPT(16)	2591713290171676709	0 24 80 98 114 128 224 230 258 264 360 374 390 408 464 488	-1008814140818
TPT(14)	2591713367478126161	0 2 48 50 96 98 156 158 210 212 216 218 270 272	-931507691366
STPT(10)	2591713390711090769	0 2 12 14 30 32 48 50 60 62	-908274726758
SPT(16)	2591713427145190219	0 34 48 78 124 160 174 198 214 238 252 288 334 364 378 412	-871840627308
SPT(16)	2591714064404042527	0 22 76 102 112 154 186 222 244 280 312 354 364 390 444 466	-234581775000
STPT(10)	2591714790062686469	0 2 18 20 30 32 42 44 60 62	491076868942
SPT(16)	2591714793957975559	0 4 30 42 82 118 124 132 250 258 264 300 340 352 378 382	494972158032
SPT(20)	2591714829476976569	0 44 78 90 92 114 132 150 158 164 168 174 182 200 218 240 242 254 288 332	530491159042
STPT(10)	2591714943088018841	0 2 36 38 78 80 120 122 156 158	644102201314
TPT(14)	2591715055064548199	0 2 12 14 48 50 90 92 138 140 222 224 372 374	756078730672