Prime p₀= 2099435447567058479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: gemini8
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2099434712686866427	0 6 12 22 64 96 112 120 136 144 160 192 234 244 250 256	-734880192052
TPT(14)	2099434721696708507	0 2 12 14 144 146 222 224 270 272 324 326 354 356	-725870349972
SPT(16)	2099434915375326833	0 6 14 78 84 96 108 146 168 206 218 230 236 300 308 314	-532191731646
SPT(16)	2099434960764619453	0 6 10 30 34 66 78 118 156 196 208 240 244 264 268 274	-486802439026
SPT(16)	2099435014115958473	0 6 30 36 66 104 128 140 204 216 240 278 308 314 338 344	-433451100006
SPT(16)	2099435431691654831	0 32 62 90 92 102 120 140 168 188 206 216 218 246 276 308	-15875403648
SPT(16)	2099435739541899673	0 6 28 48 78 166 180 210 334 364 378 466 496 516 538 544	291974841194
STPT(10)	2099436196935877139	0 2 18 20 30 32 42 44 60 62	749368818660
SPT(16)	2099436281041723159	0 40 48 70 148 174 198 204 208 214 238 264 342 364 372 412	833474664680
TPT(14)	2099436766978192907	0 2 72 74 114 116 150 152 234 236 264 266 282 284	1319411134428
SPT(16)	2099436824068577129	0 38 50 54 80 92 114 120 182 188 210 222 248 252 264 302	1376501518650