Prime p₀= 2396003919659797157 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: [AF] Kalianthys
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2396002583895720967	0 40 52 100 102 136 150 160 192 202 216 250 252 300 312 352	-1335764076190
SPT(16)	2396002953635455679	0 8 30 32 62 72 120 144 158 182 230 240 270 272 294 302	-966024341478
STPT(10)	2396002966556334431	0 2 6 8 18 20 30 32 36 38	-953103462726
SPT(16)	2396003179248644297	0 12 54 104 122 126 194 216 230 252 320 324 342 392 434 446	-740411152860
STPT(10)	2396003264868691571	0 2 36 38 78 80 120 122 156 158	-654791105586
SPT(16)	2396003886066708017	0 2 20 62 72 92 144 170 246 272 324 344 354 396 414 416	-33593089140
STPT(10)	2396003948640125597	0 2 42 44 72 74 102 104 144 146	28980328440
SPT(16)	2396004192231154601	0 6 38 68 90 96 110 222 236 348 362 368 390 420 452 458	272571357444
SPT(16)	2396004402825683129	0 44 60 62 110 120 140 152 162 174 194 204 252 254 270 314	483165885972
STPT(10)	2396004442864096109	0 2 12 14 90 92 168 170 180 182	523204298952
TPT(14)	2396004776738089211	0 2 6 8 30 32 36 38 90 92 126 128 156 158	857078292054