Prime p₀= 2768846182573097069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

TPT(14)	2768845736123892497	0 2 90 92 210 212 294 296 450 452 504 506 510 512	-446449204572
SPT(16)	2768845902572476393	0 24 30 34 88 90 108 144 244 280 298 300 354 358 364 388	-280000620676
STPT(10)	2768845969582436057	0 2 30 32 42 44 54 56 84 86	-212990661012
SPT(16)	2768846048375232781	0 18 22 28 40 42 46 148 180 282 286 288 300 306 310 328	-134197864288
TPT(14)	2768846163052729259	0 2 42 44 90 92 120 122 162 164 210 212 258 260	-19520367810
SPT(16)	2768846171802888421	0 40 46 58 60 76 82 100 168 186 192 208 210 222 228 268	-10770208648
STPT(10)	2768846362733393819	0 2 30 32 60 62 90 92 120 122	180160296750
STPT(10)	2768846944922977949	0 2 18 20 30 32 42 44 60 62	762349880880
TPT(14)	2768846974568905889	0 2 42 44 168 170 192 194 222 224 240 242 282 284	791995808820
SPT(16)	2768847195826540979	0 20 54 78 90 140 168 174 254 260 288 338 350 374 408 428	1013253443910
SPT(16)	2768847398176620317	0 30 86 140 144 264 266 270 320 324 326 446 450 504 560 590	1215603523248