Prime p₀= 2768846362733393819 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2768845902572476393	0 24 30 34 88 90 108 144 244 280 298 300 354 358 364 388	-460160917426
STPT(10)	2768845969582436057	0 2 30 32 42 44 54 56 84 86	-393150957762
SPT(16)	2768846048375232781	0 18 22 28 40 42 46 148 180 282 286 288 300 306 310 328	-314358161038
TPT(14)	2768846163052729259	0 2 42 44 90 92 120 122 162 164 210 212 258 260	-199680664560
SPT(16)	2768846171802888421	0 40 46 58 60 76 82 100 168 186 192 208 210 222 228 268	-190930505398
STPT(10)	2768846182573097069	0 2 42 44 60 62 78 80 120 122	-180160296750
STPT(10)	2768846944922977949	0 2 18 20 30 32 42 44 60 62	582189584130
TPT(14)	2768846974568905889	0 2 42 44 168 170 192 194 222 224 240 242 282 284	611835512070
SPT(16)	2768847195826540979	0 20 54 78 90 140 168 174 254 260 288 338 350 374 408 428	833093147160
SPT(16)	2768847398176620317	0 30 86 140 144 264 266 270 320 324 326 446 450 504 560 590	1035443226498
SPT(16)	2768847897182901427	0 4 126 132 144 160 202 232 234 264 306 322 334 340 462 466	1534449507608