Prime p₀= 819622884122697437 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 124 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 180 182 210 212 234 236
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: 236
Found by: [SG-2W]Kurzer
db: batch=73, k=12, 2 22 2 28 2 124

SPT(16)	819621920921550541	0 70 78 126 172 186 196 238 240 282 292 306 352 400 408 478	-963201146896
SPT(16)	819622080633094559	0 14 72 122 150 162 164 204 260 300 302 314 342 392 450 464	-803489602878
TPT(14)	819622222879939877	0 2 12 14 24 26 54 56 60 62 72 74 102 104	-661242757560
STPT(10)	819622294831800539	0 2 48 50 60 62 72 74 120 122	-589290896898
TPT(14)	819622475428680419	0 2 12 14 60 62 312 314 378 380 402 404 408 410	-408694017018
STPT(10)	819622644861391247	0 2 30 32 60 62 90 92 120 122	-239261306190
STPT(10)	819624239468724587	0 2 42 44 72 74 102 104 144 146	1355346027150
STPT(10)	819624339481209881	0 2 66 68 108 110 150 152 216 218	1455358512444
STPT(10)	819624516224920319	0 2 12 14 90 92 168 170 180 182	1632102222882
SPT(16)	819624586274833151	0 18 30 66 86 102 108 126 182 200 206 222 242 278 290 308	1702152135714
SPT(16)	819624633085499837	0 12 44 72 74 110 170 192 242 264 324 360 362 390 422 434	1748962802400