Prime p₀= 1016766557215639169 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1016766046361440721	0 2 8 42 78 90 132 146 162 176 218 230 266 300 306 308	-510854198448
SPT(16)	1016766265784748923	0 48 66 80 98 104 108 140 204 236 240 246 264 278 296 344	-291430890246
STPT(10)	1016766323577024869	0 2 30 32 60 62 90 92 120 122	-233638614300
SPT(16)	1016766339088515277	0 10 22 40 54 72 84 100 174 190 202 220 234 252 264 274	-218127123892
SPT(16)	1016766417457023679	0 18 28 54 138 172 190 208 234 252 270 304 388 414 424 442	-139758615490
STPT(10)	1016766538234517009	0 2 18 20 30 32 42 44 60 62	-18981122160
STPT(10)	1016766622948768631	0 2 30 32 60 62 90 92 120 122	65733129462
STPT(10)	1016766886346254949	0 2 42 44 90 92 138 140 180 182	329130615780
SPT(18)	1016767373436707999	0 42 144 210 228 234 248 254 278 324 348 354 368 374 392 458 560 602	816221068830
SPT(16)	1016767434024579221	0 92 116 140 150 158 168 186 242 260 270 278 288 312 336 428	876808940052
STPT(10)	1016767717391424497	0 2 30 32 72 74 114 116 144 146	1160175785328