Prime p₀= 2751528818890063109 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: JayPi
db: batch=82, k=12, 2 28 2 10 2 16

SPT(16)	2751528243565075069	0 12 28 72 88 102 112 124 258 270 280 294 310 354 370 382	-575324988040
STPT(10)	2751528276725939717	0 2 30 32 42 44 54 56 84 86	-542164123392
STPT(10)	2751528401817516677	0 2 30 32 72 74 114 116 144 146	-417072546432
SPT(16)	2751528457873034249	0 14 90 104 200 204 212 254 300 342 350 354 450 464 540 554	-361017028860
STPT(10)	2751528590393073947	0 2 30 32 42 44 54 56 84 86	-228496989162
SPT(16)	2751528627266037271	0 30 42 66 70 76 90 210 262 382 396 402 406 430 442 472	-191624025838
SPT(16)	2751529368492637441	0 16 46 78 100 108 126 130 168 172 190 198 220 252 282 298	549602574332
SPT(16)	2751529721369040277	0 46 54 96 124 150 156 184 222 250 256 282 310 352 360 406	902478977168
STPT(10)	2751529857433269347	0 2 30 32 42 44 54 56 84 86	1038543206238
SPT(16)	2751529871824641631	0 22 36 40 70 118 126 196 252 322 330 378 408 412 426 448	1052934578522
SPT(16)	2751529880284382201	0 20 26 50 78 138 156 158 198 200 218 278 306 330 336 356	1061394319092