Prime p₀= 2259002211258399317 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=81, k=10, 2 10 2 28 2

SPT(16)	2259000580180218439	0 48 82 108 130 132 138 160 222 244 250 252 274 300 334 382	-1631078180878
SPT(16)	2259001620811753913	0 14 50 84 128 140 194 216 218 240 294 306 350 384 420 434	-590446645404
SPT(16)	2259001708734912863	0 8 18 24 56 66 78 96 98 116 128 138 170 176 186 194	-502523486454
SPT(16)	2259002049377022109	0 12 54 84 88 114 130 144 208 222 238 264 268 298 340 352	-161881377208
STPT(10)	2259002106442655009	0 2 18 20 60 62 102 104 120 122	-104815744308
STPT(10)	2259002132832180509	0 2 42 44 90 92 138 140 180 182	-78426218808
STPT(10)	2259002298547022009	0 2 42 44 60 62 78 80 120 122	87288622692
SPT(16)	2259002469697763863	0 106 120 184 234 258 276 294 310 328 346 370 420 484 498 604	258439364546
SPT(16)	2259003013988012407	0 24 34 42 70 82 112 154 222 264 294 306 334 342 352 376	802729613090
SPT(16)	2259003036907532791	0 12 58 96 130 148 162 186 232 256 270 288 322 360 406 418	825649133474
STPT(10)	2259003074804678327	0 2 30 32 72 74 114 116 144 146	863546279010