Prime p₀= 2316648078637281419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2316647136964023959	0 2 18 20 60 62 132 134 138 140 240 242 300 302	-941673257460
STPT(10)	2316647246145997907	0 2 30 32 102 104 174 176 204 206	-832491283512
STPT(10)	2316647397564062747	0 2 30 32 60 62 90 92 120 122	-681073218672
SPT(16)	2316647496373175453	0 8 48 80 120 164 206 210 224 228 270 314 354 386 426 434	-582264105966
STPT(10)	2316647632551842669	0 2 48 50 60 62 72 74 120 122	-446085438750
STPT(10)	2316647874879371321	0 2 36 38 78 80 120 122 156 158	-203757910098
SPT(16)	2316648180377953921	0 48 58 70 72 130 148 198 202 252 270 328 330 342 352 400	101740672502
SPT(16)	2316648384047852213	0 50 56 66 78 86 134 168 206 240 288 296 308 318 324 374	305410570794
STPT(10)	2316648576511778417	0 2 30 32 42 44 54 56 84 86	497874496998
SPT(16)	2316649092657876733	0 54 66 70 78 94 100 124 180 204 210 226 234 238 250 304	1014020595314
SPT(16)	2316649107437071417	0 10 114 156 160 222 234 244 282 292 304 366 370 412 516 526	1028799789998