Prime p₀= 2777713740160809419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

TPT(14)	2777712431421484517	0 2 72 74 114 116 174 176 210 212 240 242 342 344	-1308739324902
TPT(14)	2777712763496371271	0 2 48 50 60 62 96 98 138 140 180 182 216 218	-976664438148
STPT(10)	2777712763496371331	0 2 36 38 78 80 120 122 156 158	-976664438088
SPT(16)	2777713304754224689	0 24 28 94 108 138 198 220 228 250 310 340 354 420 424 448	-435406584730
STPT(10)	2777713323649655231	0 2 36 38 78 80 120 122 156 158	-416511154188
SPT(16)	2777713467688203973	0 90 106 168 178 196 208 246 250 288 300 318 328 390 406 496	-272472605446
SPT(16)	2777713893409234133	0 68 128 134 144 158 210 258 266 314 366 380 390 396 456 524	153248424714
TPT(14)	2777714537091049571	0 2 30 32 36 38 120 122 240 242 276 278 306 308	796930240152
STPT(10)	2777714867951552687	0 2 30 32 72 74 114 116 144 146	1127790743268
SPT(16)	2777714912418274489	0 12 24 34 48 72 90 118 174 202 220 244 258 268 280 292	1172257465070
TPT(14)	2777715077176844867	0 2 30 32 54 56 150 152 192 194 234 236 270 272	1337016035448