Prime p₀= 2164258681076568689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2164257712167762499	0 12 22 52 54 70 100 112 192 204 234 250 252 282 292 304	-968908806190
TPT(14)	2164257839221773431	0 2 6 8 78 80 90 92 108 110 120 122 138 140	-841854795258
SPT(16)	2164257887508760201	0 12 46 96 100 130 132 142 156 166 168 198 202 252 286 298	-793567808488
STPT(10)	2164257928936836569	0 2 48 50 90 92 132 134 180 182	-752139732120
STPT(10)	2164258236065473589	0 2 18 20 30 32 42 44 60 62	-445011095100
SPT(16)	2164258368032973689	0 44 60 68 78 122 162 164 198 200 240 284 294 302 318 362	-313043595000
SPT(16)	2164258931486441521	0 76 90 96 118 132 138 162 166 190 196 210 232 238 252 328	250409872832
SPT(16)	2164258940672348383	0 10 28 34 36 58 78 94 180 196 216 238 240 246 264 274	259595779694
SPT(16)	2164260065272507841	0 6 30 38 60 78 92 116 132 156 170 188 210 218 242 248	1384195939152
STPT(10)	2164260309663985847	0 2 30 32 42 44 54 56 84 86	1628587417158
STPT(12)	2164260543813410087	0 2 12 14 42 44 180 182 210 212 222 224	1862736841398