Prime p₀= 2801177769755481023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 30 36 32 28 56 30 34 30 56 28 32 36 30 18 (?)
a_n: 0 18 48 84 116 144 200 230 264 294 350 378 410 446 476 494
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: 494
Found by: JonS
db: batch=82, k=16, 18 30 36 32 28 56 30 34

SPT(16)	2801176265220399107	0 6 44 56 72 86 104 116 210 222 240 254 270 282 320 326	-1504535081916
SPT(16)	2801176285289545411	0 28 30 36 58 72 96 160 198 262 286 300 322 328 330 358	-1484465935612
SPT(16)	2801176697162386171	0 96 100 102 132 156 160 252 256 348 352 376 406 408 412 508	-1072593094852
SPT(16)	2801177420659292551	0 16 18 48 52 60 66 88 90 112 118 126 130 160 162 178	-349096188472
STPT(10)	2801177484195776261	0 2 36 38 78 80 120 122 156 158	-285559704762
STPT(10)	2801177754916111889	0 2 42 44 90 92 138 140 180 182	-14839369134
STPT(10)	2801178171539608097	0 2 30 32 42 44 54 56 84 86	401784127074
STPT(10)	2801178188694094367	0 2 54 56 72 74 90 92 144 146	418938613344
SPT(16)	2801178558605207119	0 40 48 78 82 100 108 114 118 124 132 150 154 184 192 232	788849726096
STPT(10)	2801179129007864567	0 2 30 32 42 44 54 56 84 86	1359252383544
TPT(14)	2801179384624007747	0 2 120 122 180 182 294 296 330 332 360 362 372 374	1614868526724