Prime p₀= 2373788586675460697 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: Donn Pike (USAF Ret)
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2373787516235815259	0 2 30 32 72 74 108 110 180 182 192 194 222 224	-1070439645438
SPT(16)	2373787567648375817	0 32 42 56 60 96 102 122 144 164 170 206 210 224 234 266	-1019027084880
STPT(10)	2373787646367260831	0 2 36 38 78 80 120 122 156 158	-940308199866
SPT(16)	2373787835976175253	0 50 96 104 126 140 204 264 266 326 390 404 426 434 480 530	-750699285444
SPT(20)	2373788108503207691	0 18 32 86 96 138 168 192 218 228 260 270 296 320 350 392 402 456 470 488	-478172253006
STPT(10)	2373788346680763821	0 2 6 8 48 50 90 92 96 98	-239994696876
SPT(16)	2373789169075522739	0 2 30 102 104 114 132 144 380 392 410 420 422 494 522 524	582400062042
SPT(16)	2373789174345360539	0 20 80 132 140 158 174 182 210 218 234 252 260 312 372 392	587669899842
STPT(10)	2373789409490847287	0 2 30 32 60 62 90 92 120 122	822815386590
SPT(16)	2373789736006663399	0 12 34 54 64 132 138 190 192 244 250 318 328 348 370 382	1149331202702
STPT(10)	2373790112774527607	0 2 30 32 42 44 54 56 84 86	1526099066910