Prime p₀= 2778124259153378819 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 72 26 40 14 66 40 2 40 66 14 40 26 72 12 (?)
a_n: 0 12 84 110 150 164 230 270 272 312 378 392 432 458 530 542
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: 542
Found by: JayPi
db: batch=82, k=16, 12 72 26 40 14 66 40 2

STPT(10)	2778122367355545311	0 2 6 8 48 50 90 92 96 98	-1891797833508
SPT(16)	2778122688146123231	0 8 12 18 26 50 86 92 96 102 138 162 170 176 180 188	-1571007255588
SPT(16)	2778123775247143097	0 56 66 90 144 186 194 206 210 222 230 272 326 350 360 416	-483906235722
STPT(12)	2778123800264453747	0 2 30 32 72 74 120 122 162 164 192 194	-458888925072
STPT(10)	2778124119778799369	0 2 42 44 90 92 138 140 180 182	-139374579450
SPT(16)	2778124163628721981	0 28 42 90 106 112 132 150 178 196 216 222 238 286 300 328	-95524656838
TPT(14)	2778124885746114659	0 2 18 20 30 32 102 104 150 152 198 200 252 254	626592735840
SPT(16)	2778125107002515489	0 18 20 44 72 74 84 120 182 218 228 230 258 282 284 302	847849136670
SPT(16)	2778125170051064773	0 10 18 76 84 136 150 168 196 214 228 280 288 346 354 364	910897685954
SPT(16)	2778125400706333039	0 10 18 88 112 120 168 204 238 274 322 330 354 424 432 442	1141552954220
SPT(16)	2778125476037074789	0 10 22 64 112 138 174 190 222 238 274 300 348 390 402 412	1216883695970