Prime p₀= 2327282866733226179 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 74 34 30 42 48 20 4 8 4 20 48 42 30 34 74 (?)
a_n: 0 74 108 138 180 228 248 252 260 264 284 332 374 404 438 512
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: 512
Found by: Orange Kid
db: batch=81, k=16, 74 34 30 42 48 20 4 8

SPT(16)	2327282292652054823	0 44 108 114 120 150 176 198 206 228 254 284 290 296 360 404	-574081171356
SPT(18)	2327282397097266307	0 10 46 52 66 76 186 196 234 262 300 310 420 430 444 450 486 496	-469635959872
SPT(16)	2327282410734726157	0 12 30 42 66 102 124 142 294 312 334 370 394 406 424 436	-455998500022
SPT(16)	2327282599252133711	0 38 66 68 90 122 132 168 170 206 216 248 270 272 300 338	-267481092468
TPT(14)	2327282845738621649	0 2 102 104 138 140 168 170 180 182 240 242 312 314	-20994604530
SPT(16)	2327282855297104931	0 2 20 30 62 72 80 92 156 168 176 186 218 228 246 248	-11436121248
STPT(10)	2327283075228391361	0 2 6 8 48 50 90 92 96 98	208495165182
SPT(16)	2327283481574823091	0 42 90 112 136 162 210 228 280 298 346 372 396 418 466 508	614841596912
TPT(14)	2327283707998498901	0 2 66 68 150 152 156 158 210 212 240 242 306 308	841265272722
SPT(16)	2327284749717025573	0 46 114 144 156 168 184 226 228 270 286 298 310 340 408 454	1882983799394
SPT(16)	2327284768986822611	0 30 50 110 116 126 140 176 186 222 236 246 252 312 332 362	1902253596432