Prime p₀= 2146998973755283787 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2146997958565176793	0 60 76 90 138 154 168 178 216 226 240 256 304 318 334 394	-1015190106994
SPT(16)	2146998049345123217	0 6 24 90 92 122 126 132 194 200 204 234 236 302 320 326	-924410160570
SPT(16)	2146998347470779307	0 30 42 60 70 94 142 162 172 192 240 264 274 292 304 334	-626284504480
TPT(14)	2146998391613275139	0 2 60 62 132 134 210 212 258 260 492 494 582 584	-582142008648
SPT(16)	2146998691138711337	0 6 14 32 36 44 56 72 74 90 102 110 114 132 140 146	-282616572450
STPT(10)	2146998922799864387	0 2 42 44 72 74 102 104 144 146	-50955419400
STPT(10)	2146998996787821269	0 2 42 44 60 62 78 80 120 122	23032537482
STPT(10)	2146999083903242111	0 2 6 8 48 50 90 92 96 98	110147958324
SPT(16)	2146999316531666089	0 30 58 82 132 150 162 198 202 238 250 268 318 342 370 400	342776382302
SPT(18)	2146999459525073227	0 64 70 76 90 120 132 154 292 324 462 484 496 526 540 546 552 616	485769789440
STPT(10)	2146999635424958927	0 2 30 32 42 44 54 56 84 86	661669675140