Prime p₀= 2109578413547668277 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: Coleslaw
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2109577115110380133	0 10 18 70 88 138 144 150 184 190 196 246 264 316 324 334	-1298437288144
SPT(16)	2109577165286859581	0 26 66 68 98 126 132 216 242 326 332 360 390 392 432 458	-1248260808696
STPT(10)	2109577341960304031	0 2 6 8 48 50 90 92 96 98	-1071587364246
SPT(16)	2109577615736205103	0 10 84 100 180 238 268 298 360 390 420 478 558 574 648 658	-797811463174
STPT(10)	2109578044352961779	0 2 18 20 60 62 102 104 120 122	-369194706498
SPT(16)	2109578198772563567	0 32 42 66 96 126 164 206 270 312 350 380 410 434 444 476	-214775104710
TPT(14)	2109578430276655187	0 2 42 44 54 56 174 176 222 224 234 236 300 302	16728986910
SPT(16)	2109578466595226981	0 132 138 156 198 200 258 278 300 320 378 380 422 440 446 578	53047558704
SPT(16)	2109578644576047217	0 4 70 100 132 154 202 210 286 294 342 364 396 426 492 496	231028378940
SPT(16)	2109579083398964477	0 42 44 60 72 110 122 144 152 174 186 224 236 252 254 296	669851296200
SPT(16)	2109579469027092817	0 16 82 144 156 174 282 286 360 364 472 490 502 564 630 646	1055479424540