Prime p₀= 2538243628781849539 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 30 14 40 20 6 4 6 20 40 14 30 36 4 (?)
a_n: 0 4 40 70 84 124 144 150 154 160 180 220 234 264 300 304
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: 304
Found by: JayPi
db: batch=82, k=16, 4 36 30 14 40 20 6 4

SPT(18)	2538241999550822819	0 18 44 90 132 140 168 224 228 254 258 314 342 350 392 438 464 482	-1629231026720
TPT(14)	2538242171407921211	0 2 6 8 30 32 36 38 48 50 78 80 156 158	-1457373928328
SPT(16)	2538242733288088891	0 82 96 120 126 138 148 150 268 270 280 292 298 322 336 418	-895493760648
TPT(14)	2538242752075178021	0 2 96 98 126 128 156 158 186 188 198 200 210 212	-876706671518
STPT(10)	2538243447042467579	0 2 18 20 30 32 42 44 60 62	-181739381960
SPT(16)	2538243571178709677	0 20 26 90 110 134 140 174 182 216 222 246 266 330 336 356	-57603139862
SPT(16)	2538243727184766059	0 92 104 110 128 162 188 218 264 294 320 354 372 378 390 482	98402916520
SPT(16)	2538243839432712577	0 4 36 60 84 102 106 136 180 210 214 232 256 280 312 316	210650863038
SPT(16)	2538243952714162663	0 54 88 120 124 168 180 190 234 244 256 300 304 336 370 424	323932313124
SPT(16)	2538244374336080911	0 12 30 42 70 72 138 268 312 442 508 510 538 550 568 580	745554231372
STPT(10)	2538244607191436291	0 2 36 38 78 80 120 122 156 158	978409586752