Prime p₀= 2746050819776249053 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 96 4 24 56 30 30 10 30 30 56 24 4 96 24 (?)
a_n: 0 24 120 124 148 204 234 264 274 304 334 390 414 418 514 538
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: 538
Found by: JayPi
db: batch=82, k=16, 24 96 4 24 56 30 30 10

SPT(16)	2746050074590123687	0 12 72 84 102 114 144 150 156 162 192 204 222 234 294 306	-745186125366
STPT(10)	2746050131363347337	0 2 60 62 72 74 84 86 144 146	-688412901716
SPT(16)	2746050359497229399	0 14 38 60 80 110 158 164 168 174 222 252 272 294 318 332	-460279019654
STPT(10)	2746050509994274331	0 2 30 32 60 62 90 92 120 122	-309781974722
STPT(10)	2746050579725525297	0 2 30 32 42 44 54 56 84 86	-240050723756
SPT(16)	2746050758122554797	0 12 36 56 66 80 92 126 200 234 246 260 270 290 314 326	-61653694256
SPT(16)	2746050951145735819	0 70 130 144 150 172 190 262 372 444 462 484 490 504 564 634	131369486766
SPT(16)	2746051197646535179	0 18 22 42 48 64 120 154 168 202 258 274 280 300 304 322	377870286126
SPT(16)	2746051238629469977	0 6 12 22 42 64 76 154 162 240 252 274 294 304 310 316	418853220924
SPT(16)	2746051437673378199	0 14 18 54 122 134 150 210 302 362 378 390 458 494 498 512	617897129146
SPT(16)	2746051547013963101	0 2 18 20 30 42 50 102 116 168 176 188 198 200 216 218	727237714048