Prime p₀= 2404898390816698937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Josemi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2404897404168024551	0 2 36 38 78 80 120 122 156 158	-986648674386
SPT(16)	2404897434522955289	0 2 32 54 60 102 110 198 224 312 320 362 368 390 420 422	-956293743648
SPT(16)	2404897473771600569	0 42 90 158 188 210 230 242 258 270 290 312 342 410 458 500	-917045098368
STPT(10)	2404897847829275327	0 2 60 62 72 74 84 86 144 146	-542987423610
STPT(10)	2404897916906435981	0 2 30 32 60 62 90 92 120 122	-473910262956
TPT(14)	2404898298474977309	0 2 90 92 132 134 210 212 240 242 408 410 450 452	-92341721628
TPT(14)	2404898716723659797	0 2 12 14 84 86 90 92 114 116 132 134 144 146	325906960860
SPT(16)	2404898806805995391	0 30 42 68 72 80 128 138 152 162 210 218 222 248 260 290	415989296454
SPT(16)	2404899106669233703	0 16 34 46 156 168 180 198 226 244 256 268 378 390 408 424	715852534766
SPT(16)	2404899623904433619	0 14 54 74 134 138 140 150 152 162 164 168 228 248 288 302	1233087734682
STPT(10)	2404899921023565377	0 2 24 26 42 44 60 62 84 86	1530206866440