Prime p₀= 2098611099255021737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2098609906348399369	0 4 18 72 102 144 154 162 220 228 238 280 310 364 378 382	-1192906622368
SPT(16)	2098609995535398407	0 32 44 56 60 126 132 152 174 194 200 266 270 282 294 326	-1103719623330
SPT(16)	2098610421352213903	0 46 60 66 120 190 198 310 366 478 486 556 610 616 630 676	-677902807834
STPT(10)	2098610438732231717	0 2 42 44 72 74 102 104 144 146	-660522790020
SPT(16)	2098610769531262369	0 52 54 78 118 130 148 168 214 234 252 264 304 328 330 382	-329723759368
SPT(16)	2098610986226964959	0 38 60 78 80 102 110 122 138 150 158 180 182 200 222 260	-113028056778
SPT(16)	2098611258393620879	0 12 24 42 110 138 164 192 200 228 254 282 350 368 380 392	159138599142
SPT(16)	2098611259093047709	0 28 54 72 90 112 184 190 252 258 330 352 370 388 414 442	159838025972
SPT(16)	2098611816352569281	0 26 38 66 122 140 168 192 296 320 348 366 422 450 462 488	717097547544
SPT(16)	2098612109297362753	0 48 54 58 64 96 106 120 154 168 178 210 216 220 226 274	1010042341016
SPT(16)	2098612256523327619	0 28 48 60 88 118 142 172 228 258 282 312 340 352 372 400	1157268305882