Prime p₀= 2356637941626241709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2356637077379739839	0 102 152 158 188 192 194 224 318 348 350 354 384 390 440 542	-864246501870
STPT(10)	2356637271612645779	0 2 18 20 30 32 42 44 60 62	-670013595930
SPT(16)	2356637438377842383	0 26 44 96 126 134 144 200 264 320 330 338 368 420 438 464	-503248399326
STPT(10)	2356637469372333221	0 2 6 8 48 50 90 92 96 98	-472253908488
STPT(10)	2356637487828231689	0 2 48 50 90 92 132 134 180 182	-453798010020
SPT(16)	2356637492702117659	0 24 34 40 72 84 112 124 210 222 250 262 294 300 310 334	-448924124050
SPT(16)	2356638348304001261	0 26 48 78 108 110 152 168 230 246 288 290 320 350 372 398	406677759552
SPT(16)	2356638564453893221	0 22 42 102 106 178 186 192 256 262 270 342 346 406 426 448	622827651512
SPT(18)	2356638572012510371	0 36 42 46 48 78 88 106 112 126 132 150 160 190 192 196 202 238	630386268662
STPT(10)	2356638634003843199	0 2 48 50 90 92 132 134 180 182	692377601490
STPT(10)	2356638837049804031	0 2 6 8 48 50 90 92 96 98	895423562322