Prime p₀= 2377398614066093879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2377397158405976219	0 2 42 44 60 62 78 80 120 122	-1455660117660
SPT(16)	2377397496271513663	0 10 24 70 78 106 124 126 178 180 198 226 234 280 294 304	-1117794580216
SPT(16)	2377397524708883977	0 10 82 84 94 102 112 114 280 282 292 300 310 312 384 394	-1089357209902
STPT(10)	2377398165136874021	0 2 6 8 18 20 30 32 36 38	-448929219858
TPT(14)	2377398403467577727	0 2 24 26 42 44 150 152 210 212 240 242 252 254	-210598516152
SPT(16)	2377398438935611601	0 2 12 72 80 102 132 158 222 248 278 300 308 368 378 380	-175130482278
SPT(16)	2377398815725830517	0 10 12 34 40 82 90 102 154 166 174 216 222 244 246 256	201659736638
STPT(10)	2377398845223386651	0 2 6 8 18 20 30 32 36 38	231157292772
STPT(10)	2377398911068845449	0 2 42 44 60 62 78 80 120 122	297002751570
STPT(10)	2377398950586359591	0 2 78 80 108 110 138 140 216 218	336520265712
SPT(20)	2377398963155706197	0 32 56 92 110 120 164 180 182 186 200 204 206 222 266 276 294 330 354 386	349089612318