Prime p₀= 2378209781776576799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2378207673489149807	0 2 30 56 62 86 96 126 140 170 180 204 210 236 264 266	-2108287426992
SPT(16)	2378207952650351461	0 30 78 118 160 202 216 222 226 232 246 288 330 370 418 448	-1829126225338
SPT(16)	2378207991747440311	0 18 60 70 82 120 132 166 252 286 298 336 348 358 400 418	-1790029136488
SPT(16)	2378208509590462049	0 8 48 78 90 114 134 140 168 174 194 218 230 260 300 308	-1272186114750
STPT(10)	2378208766966133081	0 2 30 32 78 80 126 128 156 158	-1014810443718
SPT(16)	2378209165946647723	0 30 34 40 84 154 216 250 330 364 426 496 540 546 550 580	-615829929076
SPT(18)	2378210139318237439	0 40 54 124 132 138 168 220 228 244 252 304 334 340 348 418 432 472	357541660640
SPT(16)	2378210790889451209	0 28 52 102 132 138 172 174 178 180 214 220 250 300 324 352	1009112874410
SPT(16)	2378210806391087249	0 8 50 110 138 152 182 204 218 240 270 284 312 372 414 422	1024614510450
SPT(16)	2378210842406288059	0 24 30 48 78 84 108 118 144 154 178 184 214 232 238 262	1060629711260
STPT(10)	2378211348419610797	0 2 30 32 60 62 90 92 120 122	1566643033998