Prime p₀= 2774875286077773119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: UBT - Timbo
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2774873951263080301	0 10 52 70 82 120 150 162 238 250 280 318 330 348 390 400	-1334814692818
TPT(14)	2774873956415207831	0 2 6 8 120 122 156 158 216 218 228 230 240 242	-1329662565288
TPT(14)	2774874087271794437	0 2 12 14 72 74 180 182 210 212 354 356 360 362	-1198805978682
STPT(10)	2774874236813611349	0 2 18 20 30 32 42 44 60 62	-1049264161770
SPT(16)	2774874734869365727	0 60 76 96 162 174 190 222 274 306 322 334 400 420 436 496	-551208407392
STPT(10)	2774875191123148439	0 2 18 20 30 32 42 44 60 62	-94954624680
SPT(16)	2774875315249313917	0 34 42 54 64 84 180 190 216 226 322 342 352 364 372 406	29171540798
SPT(16)	2774875363577872273	0 34 88 118 124 190 234 244 264 274 318 384 390 420 474 508	77500099154
SPT(16)	2774876130960598237	0 4 30 40 42 52 72 96 100 124 144 154 156 166 192 196	844882825118
SPT(16)	2774876160024134311	0 10 18 70 82 136 138 150 208 220 222 276 288 340 348 358	873946361192
STPT(10)	2774876226140791649	0 2 30 32 60 62 90 92 120 122	940063018530