Prime p₀= 2127778740037221989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: retroactivemind
db: batch=80, k=10, 2 10 2 76 2

STPT(10)	2127778161037295717	0 2 30 32 42 44 54 56 84 86	-578999926272
SPT(16)	2127778539182356559	0 2 38 42 50 78 108 122 168 182 212 240 248 252 288 290	-200854865430
STPT(10)	2127778619824656059	0 2 18 20 30 32 42 44 60 62	-120212565930
STPT(10)	2127778670664790901	0 2 6 8 18 20 30 32 36 38	-69372431088
SPT(18)	2127778686159242159	0 8 14 18 24 44 60 72 102 140 170 182 198 218 224 228 234 242	-53877979830
SPT(16)	2127778690093794581	0 8 18 26 78 86 98 138 200 240 252 260 312 320 330 338	-49943427408
SPT(16)	2127779089560143147	0 42 44 66 144 150 156 200 216 260 266 272 350 372 374 416	349522921158
SPT(16)	2127779419418536781	0 6 30 32 56 72 78 86 132 140 146 162 186 188 212 218	679381314792
STPT(10)	2127779430174031691	0 2 36 38 78 80 120 122 156 158	690136809702
SPT(16)	2127779468946456487	0 10 12 42 84 94 154 162 184 192 252 262 304 334 336 346	728909234498
SPT(16)	2127779704771020067	0 4 34 84 124 130 154 166 174 186 210 216 256 306 336 340	964733798078