Prime p₀= 2677213403380384961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 16 2 16 2 118 2 (?)
a_n: 0 2 120 122 138 140 156 158 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 118 2 16 2

SPT(16)	2677211865323685077	0 42 44 86 92 146 176 180 296 300 330 384 390 432 434 476	-1538056699884
STPT(10)	2677212159407327777	0 2 42 44 72 74 102 104 144 146	-1243973057184
SPT(16)	2677212265632199277	0 2 24 26 140 152 182 206 240 264 294 306 420 422 444 446	-1137748185684
SPT(16)	2677212556787138791	0 18 46 120 142 198 232 238 270 276 310 366 388 462 490 508	-846593246170
SPT(16)	2677213023730791503	0 6 38 144 156 198 224 228 236 240 266 308 320 426 458 464	-379649593458
STPT(12)	2677213375070776259	0 2 48 50 102 104 198 200 252 254 300 302	-28309608702
STPT(10)	2677213736207217761	0 2 30 32 168 170 306 308 336 338	332826832800
SPT(16)	2677213845271418309	0 48 50 54 90 98 162 174 338 350 414 422 458 462 464 512	441891033348
TPT(14)	2677214013556543169	0 2 90 92 228 230 258 260 288 290 300 302 330 332	610176158208
SPT(16)	2677214161472549323	0 34 70 78 88 94 108 130 174 196 210 216 226 234 270 304	758092164362
SPT(16)	2677214226751454113	0 6 16 34 40 76 114 154 180 220 258 294 300 318 328 334	823371069152