Prime p₀= 2398523396779810211 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: herby44
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2398521913985642267	0 6 60 84 92 96 144 174 182 212 260 264 272 296 350 356	-1482794167944
STPT(10)	2398521990300056417	0 2 24 26 42 44 60 62 84 86	-1406479753794
TPT(14)	2398522030251560987	0 2 90 92 102 104 114 116 222 224 270 272 294 296	-1366528249224
SPT(16)	2398522648453489709	0 12 60 62 78 128 132 152 288 308 312 362 378 380 428 440	-748326320502
STPT(10)	2398522813526580077	0 2 30 32 120 122 210 212 240 242	-583253230134
SPT(16)	2398523133086035799	0 18 20 54 62 74 78 120 152 194 198 210 218 252 254 272	-263693774412
TPT(14)	2398523487704005061	0 2 30 32 36 38 78 80 168 170 210 212 246 248	90924194850
STPT(10)	2398524291703746719	0 2 42 44 60 62 78 80 120 122	894923936508
SPT(16)	2398524293106127297	0 4 24 42 52 70 72 82 114 124 126 144 154 172 192 196	896326317086
TPT(14)	2398525298432071799	0 2 18 20 42 44 72 74 90 92 198 200 222 224	1901652261588
SPT(16)	2398525365722238409	0 18 40 54 70 82 130 142 210 222 270 282 298 312 334 352	1968942428198