Prime p₀= 2801178171539608097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JonS
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2801176285289545411	0 28 30 36 58 72 96 160 198 262 286 300 322 328 330 358	-1886250062686
SPT(16)	2801176697162386171	0 96 100 102 132 156 160 252 256 348 352 376 406 408 412 508	-1474377221926
SPT(16)	2801177420659292551	0 16 18 48 52 60 66 88 90 112 118 126 130 160 162 178	-750880315546
STPT(10)	2801177484195776261	0 2 36 38 78 80 120 122 156 158	-687343831836
STPT(10)	2801177754916111889	0 2 42 44 90 92 138 140 180 182	-416623496208
SPT(16)	2801177769755481023	0 18 48 84 116 144 200 230 264 294 350 378 410 446 476 494	-401784127074
STPT(10)	2801178188694094367	0 2 54 56 72 74 90 92 144 146	17154486270
SPT(16)	2801178558605207119	0 40 48 78 82 100 108 114 118 124 132 150 154 184 192 232	387065599022
STPT(10)	2801179129007864567	0 2 30 32 42 44 54 56 84 86	957468256470
TPT(14)	2801179384624007747	0 2 120 122 180 182 294 296 330 332 360 362 372 374	1213084399650
SPT(16)	2801180034506951423	0 14 44 50 74 78 84 144 170 230 236 240 264 270 300 314	1862967343326