Prime p₀= 1058096581908593999 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 22 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 120 122
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: 122
Found by: arkiss
db: batch=76, k=12, 2 28 2 16 2 22

SPT(16)	1058095403004755551	0 16 28 66 142 148 232 238 270 276 360 366 442 480 492 508	-1178903838448
SPT(16)	1058095416187689521	0 26 98 110 120 140 218 246 362 390 468 488 498 510 582 608	-1165720904478
SPT(16)	1058095518104122601	0 60 68 90 126 132 168 192 386 410 446 452 488 510 518 578	-1063804471398
SPT(16)	1058095601169471493	0 4 18 28 40 118 160 214 300 354 396 474 486 496 510 514	-980739122506
TPT(14)	1058095866181957529	0 2 42 44 78 80 90 92 108 110 180 182 252 254	-715726636470
SPT(16)	1058096497272484609	0 42 64 90 102 132 150 162 202 214 232 262 274 300 322 364	-84636109390
STPT(10)	1058096892519563621	0 2 6 8 48 50 90 92 96 98	310610969622
SPT(16)	1058097262408145347	0 36 70 76 112 160 190 196 216 222 252 300 336 342 376 412	680499551348
STPT(10)	1058097283978744127	0 2 30 32 42 44 54 56 84 86	702070150128
TPT(14)	1058097420577799219	0 2 48 50 60 62 72 74 90 92 102 104 132 134	838669205220
SPT(16)	1058097570503028157	0 16 22 36 90 142 160 166 246 252 270 322 376 390 396 412	988594434158