Prime p₀= 2353727918355113537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2353725906606948227	0 2 54 56 72 74 90 92 144 146	-2011748165310
TPT(14)	2353726191375489839	0 2 30 32 42 44 108 110 138 140 150 152 192 194	-1726979623698
TPT(14)	2353726449270914657	0 2 30 32 42 44 102 104 120 122 132 134 162 164	-1469084198880
SPT(16)	2353727044953039409	0 30 40 42 64 82 108 120 142 154 180 198 220 222 232 262	-873402074128
SPT(16)	2353727123745299243	0 14 78 84 134 140 168 204 260 296 324 330 380 386 450 464	-794609814294
SPT(13)	2353727844448223939	0 12 48 78 108 120 150 180 192 222 252 288 300	-73906889598
STPT(10)	2353728001878561557	0 2 30 32 42 44 54 56 84 86	83523448020
STPT(10)	2353728018472969667	0 2 42 44 72 74 102 104 144 146	100117856130
SPT(16)	2353728038397212767	0 6 10 16 66 72 124 154 162 192 244 250 300 306 310 316	120042099230
STPT(10)	2353728206926147367	0 2 30 32 42 44 54 56 84 86	288571033830
STPT(12)	2353728529678797119	0 2 30 32 60 62 102 104 132 134 162 164	611323683582