Prime p₀= 724939796571134141 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 4 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 96 98 138 140 186 188
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: 188
Found by: stasieks
db: batch=73, k=12, 2 46 2 40 2 4

SPT(16)	724938393511313879	0 2 32 42 60 102 108 120 122 134 140 182 200 210 240 242	-1403059820262
STPT(10)	724938554850402689	0 2 18 20 30 32 42 44 60 62	-1241720731452
STPT(10)	724938763815037271	0 2 90 92 108 110 126 128 216 218	-1032756096870
TPT(14)	724939447028680361	0 2 90 92 126 128 168 170 240 242 258 260 288 290	-349542453780
SPT(16)	724939526963302799	0 42 54 80 108 152 158 228 344 414 420 464 492 518 530 572	-269607831342
SPT(16)	724939789607088017	0 2 56 86 96 102 146 176 180 210 254 260 270 300 354 356	-6964046124
TPT(14)	724940020833289841	0 2 150 152 156 158 186 188 240 242 348 350 378 380	224262155700
STPT(10)	724940313798420689	0 2 12 14 30 32 48 50 60 62	517227286548
STPT(10)	724940809517812577	0 2 30 32 42 44 54 56 84 86	1012946678436
SPT(16)	724941000819524561	0 18 36 56 90 98 128 210 218 300 330 338 372 392 410 428	1204248390420
SPT(16)	724941057468792611	0 20 30 32 42 90 102 146 192 236 248 296 306 308 318 338	1260897658470