Prime p₀= 1538924347501014499 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 26 24 4 2 22 8 52 8 22 2 4 24 26 34 (?)
a_n: 0 34 60 84 88 90 112 120 172 180 202 204 208 232 258 292
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: 292
Found by: biodoc
db: batch=78, k=16, 34 26 24 4 2 22 8 52

SPT(16)	1538922786385952339	0 30 54 74 114 120 158 162 260 264 302 308 348 368 392 422	-1561115062160
SPT(16)	1538922979462496813	0 20 38 78 80 108 224 248 306 330 446 474 476 516 534 554	-1368038517686
SPT(16)	1538922987463215091	0 28 36 106 148 166 196 238 258 300 330 348 390 460 468 496	-1360037799408
STPT(10)	1538923339789284257	0 2 42 44 132 134 222 224 264 266	-1007711730242
STPT(10)	1538923765739718089	0 2 42 44 90 92 138 140 180 182	-581761296410
STPT(10)	1538924268125253011	0 2 30 32 60 62 90 92 120 122	-79375761488
STPT(10)	1538924355909576479	0 2 18 20 30 32 42 44 60 62	8408561980
STPT(10)	1538924754693873647	0 2 42 44 72 74 102 104 144 146	407192859148
STPT(10)	1538925017838861941	0 2 36 38 78 80 120 122 156 158	670337847442
SPT(16)	1538925066475371919	0 10 28 40 58 112 192 208 222 238 318 372 390 402 420 430	718974357420
TPT(14)	1538925135280980371	0 2 66 68 150 152 198 200 240 242 306 308 330 332	787779965872