Prime p₀= 2648283088258734497 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 28 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 102 104 114 116 174 176
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: [SG-FC] hl
db: batch=82, k=12, 2 58 2 10 2 28

SPT(16)	2648282005436231473	0 28 30 66 168 178 184 210 214 240 246 256 358 394 396 424	-1082822503024
STPT(10)	2648282226630095579	0 2 18 20 30 32 42 44 60 62	-861628638918
SPT(16)	2648282368782221071	0 6 52 102 118 120 186 220 288 322 388 390 406 456 502 508	-719476513426
SPT(16)	2648282452001766631	0 18 58 60 108 130 142 148 150 156 168 190 238 240 280 298	-636256967866
STPT(10)	2648282906142073799	0 2 18 20 30 32 42 44 60 62	-182116660698
SPT(16)	2648282921619856057	0 60 102 124 154 190 192 216 250 274 276 312 342 364 406 466	-166638878440
SPT(16)	2648283603246357569	0 20 38 44 72 84 114 128 174 188 218 230 258 264 282 302	514987623072
SPT(16)	2648283717253866871	0 6 72 88 148 166 180 202 336 358 372 390 450 466 532 538	628995132374
STPT(10)	2648283835935751199	0 2 18 20 30 32 42 44 60 62	747677016702
SPT(16)	2648283890385690031	0 46 90 96 132 178 192 228 250 286 300 346 382 388 432 478	802126955534
SPT(16)	2648283994579352177	0 26 42 122 140 170 180 210 266 296 306 336 354 434 450 476	906320617680