Prime p₀= 2147817464887413701 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 26 12 4 6 32 10 98 10 32 6 4 12 26 30 (?)
a_n: 0 30 56 68 72 78 110 120 218 228 260 266 270 282 308 338
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: 338
Found by: Landjunge
db: batch=80, k=16, 30 26 12 4 6 32 10 98

SPT(16)	2147817086984448311	0 20 60 80 92 102 126 182 210 266 290 300 312 332 372 392	-377902965390
TPT(14)	2147817124937488181	0 2 60 62 78 80 90 92 126 128 168 170 210 212	-339949925520
SPT(16)	2147817139995821209	0 4 10 42 54 102 108 130 132 154 160 208 220 252 258 262	-324891592492
STPT(10)	2147817150801313037	0 2 54 56 72 74 90 92 144 146	-314086100664
STPT(10)	2147817331566268301	0 2 30 32 60 62 90 92 120 122	-133321145400
STPT(10)	2147817334432865279	0 2 18 20 30 32 42 44 60 62	-130454548422
SPT(16)	2147817650296365457	0 42 72 82 124 126 154 186 280 312 340 342 384 394 424 466	185408951756
SPT(16)	2147817944737781207	0 14 50 80 114 150 260 264 290 294 404 440 474 504 540 554	479850367506
STPT(10)	2147818256837211989	0 2 30 32 60 62 90 92 120 122	791949798288
SPT(16)	2147818410299791373	0 44 50 84 86 134 146 170 174 198 210 258 260 294 300 344	945412377672
SPT(16)	2147818506246098743	0 4 18 24 88 96 100 124 210 234 238 246 310 316 330 334	1041358685042