Prime p₀= 1690097878776014567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: RoXoR
db: batch=79, k=10, 2 28 2 40 2

SPT(16)	1690096978984216577	0 14 26 36 66 104 146 246 290 390 432 470 500 510 522 536	-899791797990
SPT(16)	1690097210021493391	0 10 16 30 52 96 112 130 138 156 172 216 238 252 258 268	-668754521176
SPT(16)	1690097502445589537	0 32 60 66 114 144 234 236 240 242 332 362 410 416 444 476	-376330425030
STPT(10)	1690097696640439517	0 2 30 32 72 74 114 116 144 146	-182135575050
SPT(16)	1690097766752091757	0 30 40 64 76 114 124 132 154 162 172 210 222 246 256 286	-112023922810
SPT(16)	1690097837518292513	0 24 38 120 188 246 254 258 416 420 428 486 554 636 650 674	-41257722054
SPT(16)	1690098453566113583	0 14 38 90 104 128 230 264 410 444 546 570 584 636 660 674	574790099016
SPT(16)	1690098460370244329	0 14 48 54 80 114 132 168 254 290 308 342 368 374 408 422	581594229762
STPT(10)	1690098836266881377	0 2 30 32 42 44 54 56 84 86	957490866810
STPT(10)	1690098892920398039	0 2 48 50 60 62 72 74 120 122	1014144383472
STPT(10)	1690098911117233151	0 2 78 80 108 110 138 140 216 218	1032341218584