Prime p₀= 2113287542217712037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

STPT(10)	2113286361098067497	0 2 24 26 42 44 60 62 84 86	-1181119644540
STPT(10)	2113286406614310251	0 2 30 32 78 80 126 128 156 158	-1135603401786
SPT(16)	2113286691085709719	0 12 24 54 90 112 150 160 192 202 240 262 298 328 340 352	-851132002318
SPT(16)	2113286978775027941	0 6 78 90 92 96 116 138 140 162 182 186 188 200 272 278	-563442684096
SPT(16)	2113287317947807559	0 8 12 98 110 182 192 200 252 260 270 342 354 440 444 452	-224269904478
STPT(10)	2113287319359569777	0 2 30 32 72 74 114 116 144 146	-222858142260
STPT(10)	2113287559913239469	0 2 12 14 90 92 168 170 180 182	17695527432
SPT(16)	2113287992361048331	0 28 36 48 72 78 112 132 136 156 190 196 220 232 240 268	450143336294
SPT(16)	2113287993808606127	0 2 36 44 102 132 156 182 234 260 284 314 372 380 414 416	451590894090
STPT(10)	2113288047033879887	0 2 42 44 132 134 222 224 264 266	504816167850
STPT(10)	2113288382204939879	0 2 30 32 60 62 90 92 120 122	839987227842