Prime p₀= 2352333175805747801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: MarkRBright
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2352331540277046467	0 2 42 44 72 74 102 104 144 146	-1635528701334
SPT(16)	2352331867374426227	0 26 56 90 120 132 134 164 192 222 224 236 266 300 330 356	-1308431321574
STPT(10)	2352332327217918317	0 2 30 32 42 44 54 56 84 86	-848587829484
SPT(16)	2352332763679668593	0 14 24 54 66 74 80 110 150 180 186 194 206 236 246 260	-412126079208
SPT(16)	2352333058927516081	0 28 46 48 60 88 96 102 106 112 120 148 160 162 180 208	-116878231720
STPT(12)	2352333162314409887	0 2 30 32 42 44 72 74 84 86 114 116	-13491337914
SPT(16)	2352333281440369321	0 22 30 72 96 118 120 178 180 238 240 262 286 328 336 358	105634621520
STPT(10)	2352333321242019671	0 2 6 8 48 50 90 92 96 98	145436271870
SPT(16)	2352333921010946539	0 18 64 108 120 148 160 214 234 288 300 328 340 384 430 448	745205198738
SPT(16)	2352333937695650297	0 26 30 32 36 42 116 132 140 156 230 236 240 242 246 272	761889902496
SPT(16)	2352334033644294541	0 30 90 108 150 240 268 282 298 312 340 430 472 490 550 580	857838546740