Prime p₀= 2779347851701812437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2779346154281075537	0 12 86 90 104 146 222 224 252 254 330 372 386 390 464 476	-1697420736900
TPT(14)	2779346665974076139	0 2 30 32 132 134 168 170 240 242 258 260 282 284	-1185727736298
SPT(16)	2779347085062707147	0 6 36 44 50 74 86 92 114 120 132 156 162 170 200 206	-766639105290
STPT(10)	2779347603787368569	0 2 42 44 90 92 138 140 180 182	-247914443868
SPT(16)	2779347634259501231	0 26 38 50 72 80 86 108 110 132 138 146 168 180 192 218	-217442311206
TPT(14)	2779347772058404241	0 2 6 8 30 32 48 50 78 80 90 92 120 122	-79643408196
STPT(10)	2779347924592600631	0 2 6 8 48 50 90 92 96 98	72890788194
SPT(16)	2779348020312148609	0 60 78 88 112 120 154 174 268 288 322 330 354 364 382 442	168610336172
SPT(18)	2779348213815509647	0 16 24 70 154 174 190 210 216 220 226 246 262 282 366 412 420 436	362113697210
SPT(16)	2779348460162967139	0 18 82 90 102 130 132 174 208 250 252 280 292 300 364 382	608461154702
SPT(16)	2779348574874508193	0 6 14 30 68 90 116 138 146 168 194 216 254 270 278 284	723172695756