Prime p₀= 2800978394813701757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2800977233970607009	0 30 52 54 70 148 180 204 238 262 294 372 388 390 412 442	-1160843094748
SPT(16)	2800977298150455131	0 8 26 56 78 80 92 102 116 126 138 140 162 192 210 218	-1096663246626
SPT(16)	2800977370217678543	0 8 38 80 84 86 126 156 188 218 258 260 264 306 336 344	-1024596023214
SPT(16)	2800978031073421141	0 12 46 78 82 118 132 138 160 166 180 216 220 252 286 298	-363740280616
STPT(10)	2800978103628245249	0 2 42 44 60 62 78 80 120 122	-291185456508
SPT(16)	2800978129409371277	0 6 32 56 80 104 116 174 182 240 252 276 300 324 350 356	-265404330480
STPT(10)	2800979044414681157	0 2 30 32 42 44 54 56 84 86	649600979400
SPT(16)	2800979633417384119	0 30 60 64 100 108 148 178 324 354 394 402 438 442 472 502	1238603682362
STPT(10)	2800979706117453407	0 2 30 32 42 44 54 56 84 86	1311303751650
STPT(10)	2800979890598706251	0 2 30 32 120 122 210 212 240 242	1495785004494
STPT(10)	2800980058235610047	0 2 30 32 42 44 54 56 84 86	1663421908290