Prime p₀= 1264531326649865579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 46 2 40 2

TPT(14)	1264530678118879097	0 2 24 26 42 44 90 92 192 194 252 254 264 266	-648530986482
STPT(10)	1264530715189423439	0 2 18 20 30 32 42 44 60 62	-611460442140
TPT(14)	1264530862453767947	0 2 84 86 234 236 264 266 360 362 372 374 390 392	-464196097632
SPT(16)	1264531007442443519	0 72 84 114 128 132 164 188 234 258 290 294 308 338 350 422	-319207422060
SPT(16)	1264531050351550463	0 60 164 186 216 224 230 236 264 270 276 284 314 336 440 500	-276298315116
SPT(16)	1264531056714892721	0 6 18 30 98 128 132 156 182 206 210 240 308 320 332 338	-269934972858
SPT(16)	1264531407071446831	0 16 18 78 88 102 130 162 196 228 256 270 280 340 342 358	80421581252
STPT(10)	1264531730441560457	0 2 30 32 60 62 90 92 120 122	403791694878
STPT(10)	1264531746255700079	0 2 120 122 150 152 180 182 300 302	419605834500
STPT(10)	1264532633523223661	0 2 36 38 78 80 120 122 156 158	1306873358082
SPT(16)	1264533004370198839	0 22 28 40 52 82 94 112 150 168 180 210 222 234 240 262	1677720333260