Prime p₀= 2098487661205998911 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2098486706121246797	0 14 32 104 144 152 182 186 230 234 264 272 312 384 402 416	-955084752114
TPT(14)	2098486917709849319	0 2 30 32 48 50 132 134 198 200 288 290 300 302	-743496149592
SPT(16)	2098487248600672529	0 8 18 54 80 84 92 98 144 150 158 162 188 224 234 242	-412605326382
STPT(10)	2098487349897330317	0 2 72 74 102 104 132 134 204 206	-311308668594
SPT(16)	2098487434076656849	0 22 42 78 102 118 120 178 252 310 312 328 352 388 408 430	-227129342062
SPT(16)	2098487533893851839	0 30 48 70 84 90 118 144 238 264 292 298 312 334 352 382	-127312147072
SPT(16)	2098487783227959427	0 42 52 84 96 120 132 142 174 184 196 220 232 264 274 316	122021960516
SPT(16)	2098488009252433349	0 24 90 122 168 204 210 218 264 272 278 314 360 392 458 482	348046434438
STPT(10)	2098488208645171619	0 2 48 50 90 92 132 134 180 182	547439172708
SPT(16)	2098488430199445919	0 12 22 60 70 88 138 144 148 154 204 222 232 270 280 292	768993447008
SPT(16)	2098488520800796381	0 6 10 66 70 96 102 186 202 286 292 318 322 378 382 388	859594797470