Prime p₀= 2678358731906363027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678358137747379433	0 30 36 64 66 76 90 108 166 184 198 208 210 238 244 274	-594158983594
STPT(10)	2678358149221916219	0 2 42 44 60 62 78 80 120 122	-582684446808
STPT(10)	2678358385692318737	0 2 42 44 72 74 102 104 144 146	-346214044290
SPT(16)	2678358391912887737	0 42 54 84 92 162 182 224 252 294 314 384 392 422 434 476	-339993475290
TPT(14)	2678358496118724869	0 2 90 92 102 104 132 134 162 164 288 290 300 302	-235787638158
SPT(16)	2678358536653777057	0 36 64 66 90 126 196 222 274 300 370 406 430 432 460 496	-195252585970
SPT(16)	2678359283196825791	0 2 68 78 128 180 182 192 266 276 278 330 380 390 456 458	551290462764
SPT(16)	2678359384728212329	0 4 40 42 60 112 114 148 204 238 240 292 310 312 348 352	652821849302
STPT(10)	2678359942496990417	0 2 30 32 42 44 54 56 84 86	1210590627390
SPT(16)	2678360070877778257	0 34 40 60 66 76 90 106 150 166 180 190 196 216 222 256	1338971415230
STPT(10)	2678360245154124899	0 2 18 20 30 32 42 44 60 62	1513247761872